Relevant bibliographies by topics / Compactifications. String models. Calabi-Yau manifolds

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  1. Journal articles
  2. Dissertations / Theses
  3. Books

Academic literature on the topic 'Compactifications. String models. Calabi-Yau manifolds'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Compactifications. String models. Calabi-Yau manifolds"

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AMBROSO, MICHAEL, and BURT A. OVRUT. "THE B – L/ELECTROWEAK HIERARCHY IN SMOOTH HETEROTIC COMPACTIFICATIONS." International Journal of Modern Physics A 25, no. 13 (2010): 2631–77. http://dx.doi.org/10.1142/s0217751x10049207.

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E8 × E8 heterotic string and M-theory, when appropriately compactified, can give rise to realistic, N = 1 supersymmetric particle physics. In particular, the exact matter spectrum of the MSSM, including three right-handed neutrino supermultiplets, one per family, and one pair of Higgs–Higgs conjugate superfields is obtained by compactifying on Calabi–Yau manifolds admitting specific SU(4) vector bundles. These "heterotic standard models" have the SU (3)C × SU (2)L × U (1)Y gauge group of the standard model augmented by an additional gauged U (1)B – L. Their minimal content requires that the B
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Easson, Damien A. "Brane Gases on K3 and Calabi–Yau Manifolds." International Journal of Modern Physics A 18, no. 23 (2003): 4295–314. http://dx.doi.org/10.1142/s0217751x03015957.

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We initiate the study of Brane Gas Cosmology (BGC) on manifolds with nontrivial holonomy. Such compactifications are required within the context of superstring theory in order to make connections with realistic particle physics. We study the dynamics of brane gases constructed from various string theories on background spaces having a K3 submanifold. The K3 compactifications provide a stepping stone for generalizing the model to the case of a full Calabi–Yau threefold. Duality symmetries are discussed within a cosmological context. Using a duality, we arrive at an N=2 theory in four dimensions
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Lukas, Andre, and Challenger Mishra. "Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds." Communications in Mathematical Physics 379, no. 3 (2020): 847–65. http://dx.doi.org/10.1007/s00220-020-03838-6.

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Abstract In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi–Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi–Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of compl
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BERGLUND, PER, BRIAN GREENE, and TRISTAN HÜBSCH. "CLASSICAL VS. LANDAU-GINZBURG GEOMETRY OF COMPACTIFICATION." Modern Physics Letters A 07, no. 20 (1992): 1855–69. http://dx.doi.org/10.1142/s0217732392001567.

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We consider superstring compactifications where both the classical description, in terms of a Calabi-Yau manifold, and also the quantum theory is known in terms of a Landau-Ginzburg orbifold model. In particular, we study (smooth) Calabi-Yau examples in which there are obstructions to parametrizing all of the complex structure cohomology by polynomial deformations thus requiring the analysis based on exact and spectral sequences. General arguments ensure that the Landau-Ginzburg chiral ring copes with such a situation by having a non-trivial contribution from twisted sectors. Beyond the expect
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SCHIMMRIGK, ROLF. "MIRROR SYMMETRY AND STRING VACUA FROM A SPECIAL CLASS OF FANO VARIETIES." International Journal of Modern Physics A 11, no. 17 (1996): 3049–96. http://dx.doi.org/10.1142/s0217751x96001486.

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Because of the existence of rigid Calabi-Yau manifolds, mirror symmetry cannot be understood as an operation on the space of manifolds with vanishing first Chern class. In this article I continue to investigate a particular type of Kähler manifolds with positive first Chern class which generalize Calabi-Yau manifolds in a natural way and which provide a framework for mirrors of rigid string vacua. This class comprises Fano manifolds of a special type which encode crucial information about ground states of the superstring. It is shown in particular that the massless spectra of (2, 2)-supersymme
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Quevedo, Fernando. "Local string models and moduli stabilisation." Modern Physics Letters A 30, no. 07 (2015): 1530004. http://dx.doi.org/10.1142/s0217732315300049.

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A brief overview is presented of the progress made during the past few years on the general structure of local models of particle physics from string theory including: moduli stabilisation, supersymmetry breaking, global embedding in compact Calabi–Yau compactifications and potential cosmological implications. Type IIB D-brane constructions and the Large Volume Scenario (LVS) are discussed in some detail emphasising the recent achievements and the main open questions.
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CURIO, GOTTFRIED. "STANDARD MODEL BUNDLES OF THE HETEROTIC STRING." International Journal of Modern Physics A 21, no. 06 (2006): 1261–81. http://dx.doi.org/10.1142/s0217751x06025109.

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We show how to construct supersymmetric three-generation models with gauge group and matter content of the Standard Model in the framework of non-simply-connected elliptically fibered Calabi–Yau manifolds Z. The elliptic fibration on a cover Calabi–Yau, where the model has six generations of SU(5) and the bundle is given via the spectral cover description, has a second section leading to the needed free involution. The relevant involution on the defining spectral data of the bundle is identified for a general Calabi–Yau of this type and invariant bundles are generally constructible.
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NISHINO, HITOSHI. "DOES HETEROTIC STRING GENERATE CHERN-SIMONS ACTION IN THREE DIMENSIONS?" Modern Physics Letters A 07, no. 20 (1992): 1805–15. http://dx.doi.org/10.1142/s0217732392001518.

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We study the possibility that the ten-dimensional (D=10) heterotic superstring generates a class of Chern-Simons theories in three dimensions, via compactifications on the internal seven-dimensional manifolds. We give an explicit example of such compactifications on (Calabi-Yau)6×S1×(Mink.)3, using the dual formulation of the heterotic string. The string tension 1/α′ as well as the Yang-Mills coupling constant g2 in D=10 is double-quantized in terms of two integers, through a condensate of the antisymmetric field strength NM1…M7, which is dual to the ordinary field strength GMNP. The resultant
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Hofman, Christiaan, and Jae-Suk Park. "Sigma models for bundles on Calabi–Yau: A proposal for Matrix string compactifications." Nuclear Physics B 561, no. 1-2 (1999): 125–56. http://dx.doi.org/10.1016/s0550-3213(99)00548-9.

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Suzuki, Hisao. "Evaluation of Periods via Fibrations in Seiberg–Witten Theories and in Type-II String." Modern Physics Letters A 12, no. 37 (1997): 2847–58. http://dx.doi.org/10.1142/s0217732397002971.

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We show how the periods can be evaluated in Seiberg–Witten theories and in K3-fibered Calabi–Yau manifolds by using fibrations of the theories. In the Seiberg–Witten theories, it is shown that the dual pair of fields can be constructed from the classical fields in a simple form. As for Calabi–Yau manifolds which are fibrations of K3 surface, we obtain the solutions of the Picard–Fuchs equations from the periods of K3 surface. By utilizing the expression of periods for two-parameter models of type-II string, we derive the solutions of the Picard–Fuchs equations around the points of enhanced gau
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Dissertations / Theses on the topic "Compactifications. String models. Calabi-Yau manifolds"

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Constantin, Andrei. "Heterotic string models on smooth Calabi-Yau threefolds." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:30be3aee-ba9b-4417-9b00-ee26a6bd67c5.

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This thesis contributes with a number of topics to the subject of string compactifications, especially in the instance of the E<sub>8</sub> × E<sub>8</sub> heterotic string theory compactified on smooth Calabi-Yau threefolds. In the first half of the work, I discuss the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties. The intricate structure of this plot is explained by the existence of certain webs of elliptic-K3 fibrations, whose mirror images are also elliptic-K3 fibrations. Such manifolds arise from reflexive polytopes that can be cut into two par
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Park, Hyukjae. "Aspects of string theory compactifications." Thesis, 2004. http://hdl.handle.net/2152/1284.

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Park, Hyukjae Distler Jacques. "Aspects of string theory compactifications." 2004. http://wwwlib.umi.com/cr/utexas/fullcit?p3143440.

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Books on the topic "Compactifications. String models. Calabi-Yau manifolds"

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1967-, Becker Katrin, ed. Snowbird lectures on string geometry: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on String Geometry, June 5-11, 2004, Snowbird, Utah. American Mathematical Society, 2006.

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Kostov, Ivan. String theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.31.

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This article discusses the link between matrix models and string theory, giving emphasis on topological string theory and the Dijkgraaf–Vafa correspondence, along with applications of this correspondence and its generalizations to supersymmetric gauge theory, enumerative geometry, and mirror symmetry. The article first provides an overview of strings and matrices, noting that the correspondence between matrix models and string theory makes it possible to solve both non-critical strings and topological strings. It then describes some basic aspects of topological strings on Calabi-Yau manifolds
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Becker, Katrin, and AMS-IMS-SIAM JOINT SUMMER RESEARCH CONFE. Snowbird Lectures on String Geometry. American Mathematical Society, 2006.

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