Academic literature on the topic 'Conformal representations'

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Journal articles on the topic "Conformal representations"

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MATSUDA, SATOSHI. "REPRESENTATION BLOCKS OF CONFORMAL FIELDS FOR THE N=4SU(2)k SUPERCONFORMAL ALGEBRAS." International Journal of Modern Physics A 10, no. 11 (1995): 1671–91. http://dx.doi.org/10.1142/s0217751x95000802.

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The representation theories of the SU(2)k-extended N=4 superconformal algebras (SCA’s) with arbitrary level k are developed, based on their Feigin-Fuchs representations found recently by the present author. A basic unit of the representation blocks consisting of eight “boson-like” and eight “fermion-like” conformal fields is found to describe arbitrary representations of the N=4 SU(2)k SCA’s, including unitary and nonunitary representations. The transformation properties of the fundamental sets of the conformal fields under the N=4 SU(2)k superconformal symmetries are given. Then, the whole se
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EHOLZER, W. "FUSION ALGEBRAS INDUCED BY REPRESENTATIONS OF THE MODULAR GROUP." International Journal of Modern Physics A 08, no. 20 (1993): 3495–507. http://dx.doi.org/10.1142/s0217751x93001405.

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Using the representation theory of the subgroups SL 2(ℤp) of the modular group we investigate the induced fusion algebras in some simple examples. Only some of these representations lead to "good" fusion algebras. Furthermore, the conformal dimensions and the central charge of the corresponding rational conformal field theories are calculated. Two series of representations which can be realized by unitary theories are presented. We show that most of the fusion algebras induced by admissible representations are realized in well-known rational models.
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Kolesnikov, P. S. "Universal enveloping Poisson conformal algebras." International Journal of Algebra and Computation 30, no. 05 (2020): 1015–34. http://dx.doi.org/10.1142/s0218196720500289.

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Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal associative conformal envelopes of the Virasoro conformal algebra and the Neveu–Schwartz conformal superalgebra.
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LLEDÓ, FERNANDO. "CONFORMAL COVARIANCE OF MASSLESS FREE NETS." Reviews in Mathematical Physics 13, no. 09 (2001): 1135–61. http://dx.doi.org/10.1142/s0129055x01000958.

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In the present paper we review in a fiber bundle context the covariant and massless canonical representations of the Poincaré group as well as certain unitary representations of the conformal group (in 4-dimensions). We give a simplified proof of the well-known fact that massless canonical representations with discrete helicity extend to unitary and irreducible representations of the conformal group mentioned before. Further we give a simple new proof that massless free nets for any helicity value are covariant under the conformal group. Free nets are the result of a direct (i.e. independent o
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RYTTOV, THOMAS A., and FRANCESCO SANNINO. "CONFORMAL HOUSE." International Journal of Modern Physics A 25, no. 24 (2010): 4603–21. http://dx.doi.org/10.1142/s0217751x10050391.

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We investigate the gauge dynamics of nonsupersymmetric SU (N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions of flavors and colors which can yield a physical infrared fixed point. As a consistency check we recover the previously investigated bounds of the conformal windows when restricting to a single matter representation. The earlier conformal windows can be imagined to be part now of the new conformal house. We predict the nonperturbative anomalous dimensions at
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Carpi, Sebastiano, and Robin Hillier. "Loop groups and noncommutative geometry." Reviews in Mathematical Physics 29, no. 09 (2017): 1750029. http://dx.doi.org/10.1142/s0129055x17500295.

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We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level [Formula: see text] projective unitary positive-energy representations of any given loop group [Formula: see text]. The construction is based on certain supersymmetric conformal field theory models associated with [Formula: see text] in the setting of conformal nets. We then generalize the construction to many other rational chiral conformal field theory models including coset models and the moonshine conformal n
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Kolesnikov, P. S. "Conformal representations of Leibniz algebras." Siberian Mathematical Journal 49, no. 3 (2008): 429–35. http://dx.doi.org/10.1007/s11202-008-0043-7.

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Wu, Henan. "Finite irreducible representations of map Lie conformal algebras." International Journal of Mathematics 28, no. 01 (2017): 1750002. http://dx.doi.org/10.1142/s0129167x17500021.

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In this paper, we study the finite representation theory of the map Lie conformal algebra [Formula: see text], where G is a finite simple Lie conformal algebra and A is a commutative associative algebra with unity over [Formula: see text]. In particular, we give a complete classification of nontrivial finite irreducible conformal modules of [Formula: see text] provided A is finite-dimensional.
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ALTSCHÜLER, D. "THE CRITICAL REPRESENTATIONS OF AFFINE LIE ALGEBRAS." Modern Physics Letters A 01, no. 10 (1986): 557–64. http://dx.doi.org/10.1142/s0217732386000701.

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A critical representation of an affine algebra Ĝ is a representation with central charge k=−g, g being the dual Coxeter number of the underlying simple Lie algebra G. These representations arise naturally in the study of conformal current algebras and BRS cohomology. The author shows how to construct them explicitly in a number of cases, and some intriguing open problems are mentioned.
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PEREIRA, J. G., A. C. SAMPSON, and L. L. SAVI. "DE SITTER TRANSITIVITY, CONFORMAL TRANSFORMATIONS AND CONSERVATION LAWS." International Journal of Modern Physics D 23, no. 04 (2014): 1450035. http://dx.doi.org/10.1142/s0218271814500357.

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Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal transformations, which do have a matrix representation. Such matrix, however, is not by itself a de Sitter generator: it gives rise to a conformal re-scaling of the metric, a transformation not belonging to the de Sitter group, and in general not associated with diffeomorphisms in spacetime. When dealing with variational principles and Noether's theorem in de Si
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Dissertations / Theses on the topic "Conformal representations"

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Diemer, Tammo. "Conformal geometry, representation theory and linear fields." Bonn : Mathematisches Institut der Universität, 2004. http://catalog.hathitrust.org/api/volumes/oclc/62770144.html.

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Loke, Terence M. L. "Operator algebras and conformal field theory of the discrete series representations of Diff(S'1)." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338206.

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Pevzner, Michael. "Représentations des groupes de Lie conformes et quantification des espaces symétriques." Habilitation à diriger des recherches, Université de Reims - Champagne Ardenne, 2005. http://tel.archives-ouvertes.fr/tel-00320444.

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Шоман, Ольга Вікторівна. "Геометричне моделювання узагальнених паралельних множин". Thesis, Київський державний технічний університет будівництва i архітектури, 2007. http://repository.kpi.kharkov.ua/handle/KhPI-Press/20365.

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Дисертація на здобуття наукового ступеня доктора технічних наук зі спеціальності 05.01.01 – Прикладна геометрія, інженерна графіка. – Київський національний університет будівництва і архітектури, Київ, 2007. Дисертацію присвячено розробці теорії геометричного моделювання узагальнених паралельних множин для розв'язання задач формоутворення в часі геометричних об'єктів – наочних геометричних моделей динамічних явищ і процесів, що характеризуються хвильовими фронтами, поверхні яких у певні моменти часу утворюють просторову конформну сітку з лініями у напрямках руху цих фронтів, або характеризують
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Kawai, S. "Boundary conformal field theory in free-field representation." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249280.

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Mathéus, Frédéric. "Empilements de cercles : rigidité, discrétisation d'applications conformes." Université Joseph Fourier (Grenoble), 1994. http://www.theses.fr/1994GRE10234.

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Depuis une dizaine d'annees, les empilements de cercles ont fait l'objet d'abondantes recherches concernant des questions de rigidite, et une methode de discretisation de l'uniformisation de riemann. Le fait est que les empilements etudies jusqu'ici etaient tous plonges. L'objet de cette these est d'etudier ces questions d'approximation et de rigidite dans le cadre des empilements immerges. Ainsi, nous utilisons les empilements de cercles immerges finis pour discretiser des immersions conformes d'un compact du plan (chap. 1). La methode de deformation d'empilements de cercles employee alors pe
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Ström, David. "The Open Mapping Theorem for Analytic Functions and some applications." Thesis, Karlstad University, Faculty of Technology and Science, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-210.

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<p>This thesis deals with the Open Mapping Theorem for analytic functions on domains in the complex plane: A non-constant analytic function on an open subset of the complex plane is an open map.</p><p>As applications of this fundamental theorem we study Schwarz’s Lemma and its consequences concerning the groups of conformal automorphisms of the unit disk and of the upper halfplane.</p><p>In the last part of the thesis we indicate the first steps in hyperbolic geometry.</p><br><p>Denna uppsats behandlar satsen om öppna avbildningar för analytiska funktioner på domäner i det komplexa talplanet:
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Palcoux, Sébastien. "Série discrète unitaire, caractères, fusion de Connes et sous-facteurs pour l'algèbre Neveu-Schwarz." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2009. http://tel.archives-ouvertes.fr/tel-00514234.

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On donne une preuve complète de la classification des représentations d'énergie positive unitaires de l'algèbre Neveu-Schwarz, de telle manière qu'on obtient directement les caractères de la séries discrètes. Ensuite, on explicite leur loi de fusion de Connes et on prouve que les sous-facteurs de Jones-Wassermann sont irréductibles d'indice fini, on donne leur formule.
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Agrebaoui, Boujemaâ. "Sur la theorie des representations des algebres de kac-moody affines, la theorie des operateurs vertex et la theorie des champs conformes." Université Louis Pasteur (Strasbourg) (1971-2008), 1995. http://www.theses.fr/1995STR13090.

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Parmi les travaux cruciaux dans la theorie des representations, il y a ceux qui etudient la construction explicite de certaines representations de niveau un des algebres de kac-moody affines, en termes d'algebres d'operateurs vertex. Rappelons que le niveau d'une representation est l'action du centre de cette algebre. Il est difficile de construire les representations de niveau plus grand que un. C'est pour cela que les specialistes se sont interesses a la conjecture suivante qui est connue depuis une dizaine d'annees: toute representation irreductible de plus haut poids dominant et de niveau
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HERNANDEZ, ORTEGA LINDA JOSELINNE. "Elaboración de un portafolio de inversión conformado por las divisas más representativas del mercado y de acciones de empresas en países emergentes del 2016 a 2018." Tesis de Licenciatura, UNIVERSIDAD AUTONOMA DEL ESTADO DE MEXICO, 2019. http://hdl.handle.net/20.500.11799/105297.

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El presente trabajo comprende la investigación del concepto de portafolio de inversión, de los mercados de divisas y de los mercados de acciones, su impacto económico y el funcionamiento que tienen dentro de la economía, con el propósito de poder elaborar un portafolio de inversión que esté integrado por acciones emitidas por empresas de países emergentes y por las divisas operadas en el mercado FOREX, utilizando la metodología de Markowitz para obtener las ponderaciones de los activos en el caso de la minimización del riesgo y la maximización del rendimiento. En el primer capítulo s
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Books on the topic "Conformal representations"

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Todorov, Ivan T. Conformal description of spinning particles. Springer-Verlag, 1986.

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Dobrev, V. K. Representations of quantum groups and q-deformed invariant wave equations. Papierflieger, 1995.

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1956-, Burstall Francis E., ed. Conformal geometry of surfaces in S4 and quaternions. Springer, 2002.

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Bieberbach, Ludwig. Conformal mapping. American Mathematical Society, 2000.

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1956-, Burstall Francis E., ed. Conformal geometry of surfaces in S⁴ and quaternions. Springer, 2002.

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Mochizuki, Shinichi. Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.

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Grafarend, Erik W. Map projections: Cartographic information systems. Springer, 2006.

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Philip, Kemble John, ed. Coriolanus, or The Roman matron: A tragedy.Printed exactly conformable to the representation at the Theatre Royal, Drury Lane. With the order of the ovation. Pergamon Press, 1985.

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Shakespeare, William. King Henry V: Or, The conquest of France, a tragedy. Printed exactly conformable to the representation, on its revival at the Theatre Royal. Drury Lane, October I, 1789. Pergamon Press, 1985.

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Trade, United States Congress House Committee on Ways and Means Subcommittee on. Proposals to conform the customs user fee on merchandise processing and the superfund tax differential with U.S. GATT obligations: Hearing before the Subcommittee on Trade of the Committee on Ways and Means, House of Representatives, One Hundred First Congress, first session, January 25, 1989. U.S. G.P.O., 1989.

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Book chapters on the topic "Conformal representations"

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Gu, Xianfeng, and Baba C. Vemuri. "Matching 3D Shapes Using 2D Conformal Representations." In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2004. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30135-6_94.

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Jackiw, Roman. "Representations of the Two-Dimensional Conformal Group." In Super Field Theories. Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-0913-0_7.

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Todorov, Ivan T. "The Conformal Group of a Conformally Flat Space Time and Its Twistor Representations." In Conformal Description of Spinning Particles. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82868-3_3.

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Bincer, Adam M. "Massless Representations of the Poincaré Group and Conformal Invariance." In Symmetries in Science VI. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1219-0_8.

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Marussi, Antonio. "Some Integral Properties of the Conformal Representations of Surfaces on Surfaces." In Intrinsic Geodesy. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70243-3_16.

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Kohno, Toshitake. "Homological Representations of Braid Groups and the Space of Conformal Blocks." In Perspectives in Lie Theory. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58971-8_16.

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Marussi, Antonio. "Some Remarks on the Use of Conformal Representations in Three-Dimensional Geodesy." In Intrinsic Geodesy. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70243-3_13.

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Görnitz, Th, and C. F. v. Weizsäcker. "De — sitter representations and the particle concept, studied in an ur-theoretical cosmological model." In Conformal Groups and Related Symmetries Physical Results and Mathematical Background. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3540171630_70.

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Batu, Vedat. "Conformal Representation." In Fluid Mechanics and Hydraulics. CRC Press, 2024. http://dx.doi.org/10.1201/9781003457442-18.

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Kohno, Toshitake. "Homological Representations of Braid Groups at Roots of Unity and the Space of Conformal Blocks." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-3778-9_4.

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Conference papers on the topic "Conformal representations"

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Wang, W., and W. Hartt. "Experimental Protocol and Data Representation for Sacrificial Anode Cathodic Protection of Steel in Sea Water." In CORROSION 1993. NACE International, 1993. https://doi.org/10.5006/c1993-93520.

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Abstract Laboratory experiments have been performed to characterize the effects of initial current density and selected variables upon the cathodic polarization behavior of API 2H Grade 42 steel in natural sea water at ambient temperature and pressure. The procedure involved galvanic coupling of a cylindrical steel specimen to a larger diameter aluminum sacrificial anode ring, and potential of the cathode and current were recorded for durations extending to 150 days. In lieu of employing unrealistically small anodes to achieve a service relevant surface area ratio, resistors ranging from 75 to
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RETAKH, ALEXANDER. "STRUCTURE AND REPRESENTATIONS OF CONFORMAL ALGEBRAS." In Proceedings of the International Conference on Algebras, Modules and Rings. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774552_0018.

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Kolesnikov, P. S. "On Representations of Dialgebras and Conformal Algebras." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0028.

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Todorov, Ivan, and Vladimir Dobrev. "Minimal Representations and Reductive Dual Pairs in Conformal Field Theory." In LIE THEORY AND ITS APPLICATIONS IN PHYSICS: VIII International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3460160.

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GUNAYDIN, MURAT. "REALIZATIONS OF EXCEPTIONAL U-DUALITY GROUPS AS CONFORMAL AND QUASI-CONFORMAL GROUPS AND THEIR MINIMAL UNITARY REPRESENTATIONS." In Proceedings of the 3rd International Symposium. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702340_0009.

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Taylor, C. M., I. P. Ilyas, K. W. Dalgarno, and J. Gosden. "Manufacture of Production Quality Injection Mold Tools Using SLS and HSM." In ASME 2007 International Manufacturing Science and Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/msec2007-31030.

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The use of a rapid manufacturing method to create injection mould tools offers the opportunity to create conformal cooling channels in the core/cavity inserts. Conformal cooling channels allow for better thermal management of the injection mold tool through the cycle, with the potential to reduce cycle times and/or improve product quality. However, currently available rapid manufacturing methods do not deliver the levels of accuracy and surface finish required to meet typical injection mould tool specifications. This paper reports on a hybrid approach to developing the mold inserts, which uses
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Gantoi, F. Marina, Michael A. Brown, and Ahmed A. Shabana. "ANCF Modeling of the Contact Geometry and Deformation in Biomechanics Applications." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70224.

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The purpose of this investigation is to demonstrate the use of the finite element (FE) absolute nodal coordinate formulation (ANCF) and multibody system (MBS) algorithms in modeling both the contact geometry and ligaments deformations in biomechanics applications. Two ANCF approaches can be used to model the rigid contact surface geometry. In the first approach, fully parameterized ANCF volume elements are converted to surface geometry using parametric relationship that reduces the number of independent coordinate lines. This parametric relationship can be defined analytically or using a splin
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Feiszli, Matt, and David Mumford. "Shape representation via conformal mapping." In Electronic Imaging 2007, edited by Charles A. Bouman, Eric L. Miller, and Ilya Pollak. SPIE, 2007. http://dx.doi.org/10.1117/12.716028.

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To, Son Thanh, Tran Cao Son, and Enrico Pontelli. "A generic approach to planning in the presence of incomplete information: Theory and implementation (Extended Abstract)." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/725.

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This paper proposes a generic approach to planning in the presence of incomplete information. The approach builds on an abstract notion of a belief state representation, along with an associated set of basic operations. These operations facilitate the development of a sound and complete transition function, for reasoning about effects of actions in the presence of incomplete information, and a set of abstract algorithms for planning. The paper demonstrates how the abstract definitions and algorithms can be instantiated in three concrete representations—minimal-DNF, minimal-CNF, and prime impli
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HALLER, STEFAN. "SOME PROPERTIES OF LOCALLY CONFORMAL SYMPLECTIC MANIFOLDS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0007.

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Reports on the topic "Conformal representations"

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Zhang, Yongjie, Wenyan Wang, and Thomas J. Hughes. Conformal Solid T-spline Construction from Boundary T-spline Representations. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada588397.

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Yan, Yujie, and Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-c
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