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Auteur : Grafiati

Publié le 1 avril 2023

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Articles de revues sur le sujet "5d SCFT"

Hwang, Chiung, Joonho Kim, Seok Kim et Jaemo Park. « Addendum to : General instanton counting and 5d SCFT ». Journal of High Energy Physics 2016, n^o 4 (avril 2016) : 1. http://dx.doi.org/10.1007/jhep04(2016)094.

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Assel, Benjamin, John Estes et Masahito Yamazaki. « Wilson Loops in 5d $${\mathcal{N} = 1}$$ SCFTs and AdS/CFT ». Annales Henri Poincaré 15, n^o 3 (21 avril 2013) : 589–632. http://dx.doi.org/10.1007/s00023-013-0249-5.

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Closset, Cyril, et Michele Del Zotto. « On 5D SCFTs and their BPS quivers. Part I : B-branes and brane tilings ». Advances in Theoretical and Mathematical Physics 26, n^o 1 (2022) : 37–142. http://dx.doi.org/10.4310/atmp.2022.v26.n1.a2.

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Tian, Jiahua, et Yinan Wang. « 5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds ». SciPost Physics 12, n^o 4 (12 avril 2022). http://dx.doi.org/10.21468/scipostphys.12.4.127.

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We study the orbifold singularities X=\mathbb{C}^3/\GammaX=ℂ3/Γ where \GammaΓ is a finite subgroup of SU(3)SU(3). M-theory on this orbifold singularity gives rise to a 5d SCFT, which is investigated with two methods. The first approach is via 3d McKay correspondence which relates the group theoretic data of \GammaΓ to the physical properties of the 5d SCFT. In particular, the 1-form symmetry of the 5d SCFT is read off from the McKay quiver of \GammaΓ in an elegant way. The second method is to explicitly resolve the singularity XX and study the Coulomb branch information of the 5d SCFT, which is applied to toric, non-toric hypersurface and complete intersection cases. Many new theories are constructed, either with or without an IR quiver gauge theory description. We find that many resolved Calabi-Yau threefolds, \widetilde{X}X̃, contain compact exceptional divisors that are singular by themselves. Moreover, for certain cases of \GammaΓ, the orbifold singularity \mathbb{C}^3/\Gammaℂ3/Γ can be embedded in an elliptic model and gives rise to a 6d (1,0) SCFT in the F-theory construction. Such 6d theory is naturally related to the 5d SCFT defined on the same singularity. We find examples of rank-1 6d SCFTs without a gauge group, which are potentially different from the rank-1 E-string theory.

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Bhardwaj, Lakshya. « Flavor symmetry of 5d SCFTs. Part II. Applications ». Journal of High Energy Physics 2021, n^o 4 (avril 2021). http://dx.doi.org/10.1007/jhep04(2021)221.

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Abstract In Part I of this series of papers, we described a general method for determining the flavor symmetry of any 5d SCFT which can be constructed by integrating out BPS particles from some 6d SCFT compactified on a circle. In this part, we apply the method to explicitly determine the flavor symmetry of those 5d SCFTs which reduce, upon a mass deformation, to some 5d$$ \mathcal{N} $$ N = 1 gauge theory carrying a simple gauge algebra. In these cases, the flavor symmetry of the 5d gauge theory is often enhanced at the conformal point. We use our method to determine this enhancement.

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Apruzzi, Fabio, Sakura Schafer-Nameki, Lakshya Bhardwaj et Jihwan Oh. « The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs ». SciPost Physics 13, n^o 2 (17 août 2022). http://dx.doi.org/10.21468/scipostphys.13.2.024.

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2-group symmetries arise when 1-form symmetries and 0-form symmetries of a theory mix with each other under group multiplication. We discover the existence of 2-group symmetries in 5d \mathcal{N}=1𝒩=1 abelian gauge theories arising on the (non-extended) Coulomb branch of 5d superconformal field theories (SCFTs), leading us to argue that the UV 5d SCFT itself admits a 2-group symmetry. Furthermore, our analysis determines the global forms of the 0-form flavor symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits a 1-form symmetry. As a concrete application of our method, we analyze 2-group symmetries of all 5d SCFTs, which reduce in the IR, after performing mass deformations, to 5d \mathcal{N}=1𝒩=1 non-abelian gauge theories with simple, simply connected gauge groups. For rank-1 Seiberg theories, we check that our predictions for the flavor symmetry groups match with the superconformal and ray indices available in the literature. We also comment on the mixed `t Hooft anomaly between 1-form and 0-form symmetries arising in 5d \mathcal{N}=1𝒩=1 non-abelian gauge theories and its relation to the 2-groupS.

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Martone, Mario, et Gabi Zafrir. « On the compactification of 5d theories to 4d ». Journal of High Energy Physics 2021, n^o 8 (août 2021). http://dx.doi.org/10.1007/jhep08(2021)017.

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Abstract We study general properties of the mapping between 5d and 4d superconformal field theories (SCFTs) under both twisted circle compactification and tuning of local relevant deformation and CB moduli. After elucidating in generality when a 5d SCFT reduces to a 4d one, we identify nearly all $$ \mathcal{N} $$ N = 1 5d SCFT parents of rank-2 4d$$ \mathcal{N} $$ N = 2 SCFTs. We then use this result to map out the mass deformation trajectories among the rank-2 theories in 4d. This can be done by first understanding the mass deformations of the 5d$$ \mathcal{N} $$ N = 1 SCFTs and then map them to 4d. The former task can be easily achieved by exploiting the fact that the 5d parent theories can be obtained as the strong coupling limit of Lagrangian theories, and the latter by understanding the behavior under compactification. Finally we identify a set of general criteria that 4d moduli spaces of vacua have to satisfy when the corresponding SCFTs are related by mass deformations and check that all our RG-flows satisfy them. Many of the mass deformations we find are not visible from the corresponding complex integrable systems.

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Bhardwaj, Lakshya. « Flavor symmetry of 5d SCFTs. Part I. General setup ». Journal of High Energy Physics 2021, n^o 9 (septembre 2021). http://dx.doi.org/10.1007/jhep09(2021)186.

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Abstract A large class of 5d superconformal field theories (SCFTs) can be constructed by integrating out BPS particles from 6d SCFTs compactified on a circle. We describe a general method for extracting the flavor symmetry of any 5d SCFT lying in this class. For this purpose, we utilize the geometric engineering of 5d$$ \mathcal{N} $$ N = 1 theories in M-theory, where the flavor symmetry is encoded in a collection of non-compact surfaces.

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Apruzzi, Fabio, Sakura Schäfer-Nameki et Yi-Nan Wang. « 5d SCFTs from decoupling and gluing ». Journal of High Energy Physics 2020, n^o 8 (août 2020). http://dx.doi.org/10.1007/jhep08(2020)153.

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Abstract We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d $$ \mathcal{N} $$ N = (1, 0) SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine the so-called combined fiber diagrams (CFD) introduced in [1–3]. The CFDs are graphs that encode the superconformal flavor symmetry, BPS states, low energy descriptions, as well as descendants upon flavor matter decoupling. To obtain a 5d SCFT from 6d, there are two approaches: the first is to consider a circle-reduction combined with mass deformations. The second is to circle-reduce and decouple an entire gauge sector from the theory. The former is applicable e.g. for very Higgsable theories, whereas the latter is required to obtain a 5d SCFT from a non-very Higgsable 6d theory. In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. To exemplify this we consider the 5d SCFTs that descend from non-Higgsable clusters and non-minimal conformal matter theories. Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs.

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Sacchi, Matteo, Orr Sela et Gabi Zafrir. « Compactifying 5d superconformal field theories to 3d ». Journal of High Energy Physics 2021, n^o 9 (septembre 2021). http://dx.doi.org/10.1007/jhep09(2021)149.

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Abstract Building on recent progress in the study of compactifications of 6d (1, 0) superconformal field theories (SCFTs) on Riemann surfaces to 4d$$ \mathcal{N} $$ N = 1 theories, we initiate a systematic study of compactifications of 5d$$ \mathcal{N} $$ N = 1 SCFTs on Riemann surfaces to 3d$$ \mathcal{N} $$ N = 2 theories. Specifically, we consider the compactification of the so-called rank 1 Seiberg $$ {E}_{N_f+1} $$ E N f + 1 SCFTs on tori and tubes with flux in their global symmetry, and put the resulting 3d theories to various consistency checks. These include matching the (usually enhanced) IR symmetry of the 3d theories with the one expected from the compactification, given by the commutant of the flux in the global symmetry of the corresponding 5d SCFT, and identifying the spectrum of operators and conformal manifolds predicted by the 5d picture. As the models we examine are in three dimensions, we encounter novel elements that are not present in compactifications to four dimensions, notably Chern-Simons terms and monopole superpotentials, that play an important role in our construction. The methods used in this paper can also be used for the compactification of any other 5d SCFT that has a deformation leading to a 5d gauge theory.

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