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We construct non-geometric AdS$_4$ solutions of IIB string theory where the fields in overlapping patches are glued by elements of the S-duality group. We obtain them by suitable quotients of compact and non-compact geometric solutions. The…

High Energy Physics - Theory · Physics 2018-07-06 Benjamin Assel , Alessandro Tomasiello

We study a set of four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) $\widehat{\Gamma}(G)$ labeled by a pair of simply-laced Lie groups $\Gamma$ and $G$. They are constructed out of gauging a number of $\mathcal{D}_p(G)$…

High Energy Physics - Theory · Physics 2021-11-12 Monica Jinwoo Kang , Craig Lawrie , Jaewon Song

We study the six-dimensional (2,0) superconformal field theory on S^1 x S^2 x M via compactification to five dimensions, where M is a three-manifold. Twisted along M, the five-dimensional theory has a half of N = (2,2) supersymmetry on S^2,…

High Energy Physics - Theory · Physics 2015-06-15 Junya Yagi

We propose a generalization of S-folds to 4d $\mathcal{N}=2$ theories. This construction is motivated by the classification of rank one 4d $\mathcal{N}=2$ super-conformal field theories (SCFTs), which we reproduce from D3-branes probing a…

High Energy Physics - Theory · Physics 2020-08-07 Fabio Apruzzi , Simone Giacomelli , Sakura Schafer-Nameki

We suggest a new duality between a pair of 3d N = 5 SCFTs, one of ABJ type and one based on the exceptional superalgebra F (4). Our main evidence for the proposed duality is the matching of the superconformal index. In addition to the…

High Energy Physics - Theory · Physics 2026-01-07 Ki-Hong Lee , Belal Nazzal , Gabi Zafrir

We consider the circle and torus compactification of a certain subclass of 6d $\mathcal{N}=(1,0)$ SCFTs which are Higgsable to the higher rank E-string theories. Using the T-duality between Type I' and Type IIB, we found that the $S^1$…

High Energy Physics - Theory · Physics 2016-03-23 Kantaro Ohmori , Hiroyuki Shimizu

We construct a family of examples of pairs of 4d N=2 SCFTs whose graded Coulomb branch dimensions, Weyl-anomaly coefficients and flavour symmetry algebras and levels coincide, but which are nonetheless distinct SCFTs. The difference…

High Energy Physics - Theory · Physics 2021-01-01 Jacques Distler , Behzat Ergun , Ali Shehper

We construct a state-sum type invariant of smooth closed oriented $4$-manifolds out of a $G$-crossed braided spherical fusion category ($G$-BSFC) for $G$ a finite group. The construction can be extended to obtain a $(3+1)$-dimensional…

Quantum Algebra · Mathematics 2019-11-05 Shawn X. Cui

The dynamics of a stack of M5 branes probing a transverse multi-centered Taub-NUT space are described by a class of 6d $\mathcal{N}=(1,0)$ superconformal field theories known as the M-string orbifold SCFTs. We determine the equivariant…

High Energy Physics - Theory · Physics 2026-03-18 Daniele Ceppi , Guglielmo Lockhart

We realize four-dimensional N=2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D_N theory with defects. The construction can be used to analyze infinitely…

High Energy Physics - Theory · Physics 2009-08-06 Yuji Tachikawa

We study supersymmetry breaking deformations of the $\mathcal{N}=1$ 5d fixed point known as $E_1$, the UV completion of $SU(2)$ super-Yang-Mills. The phases of the non-supersymmetric theory can be characterized by Chern-Simons terms…

High Energy Physics - Theory · Physics 2022-02-03 Pietro Benetti Genolini , Masazumi Honda , Hee-Cheol Kim , David Tong , Cumrun Vafa

We propose a novel procedure of assigning a pair of non-unitary topological quantum field theories (TQFTs), TFT$_\pm [\mathcal{T}_{\rm rank \;0}]$, to a (2+1)D interacting $\mathcal{N}=4$ superconformal field theory (SCFT) $\mathcal{T}_{\rm…

High Energy Physics - Theory · Physics 2023-02-22 Dongmin Gang , Sungjoon Kim , Kimyeong Lee , Myungbo Shim , Masahito Yamazaki

The modern approach to $m$-form global symmetries in a $d$-dimensional quantum field theory (QFT) entails specifying dimension $d-m-1$ topological generalized symmetry operators which non-trivially link with $m$-dimensional defect…

High Energy Physics - Theory · Physics 2023-08-09 Jonathan J. Heckman , Max Hübner , Ethan Torres , Hao Y. Zhang

We explore BPS quivers for D=5 theories, compactified on a circle and geometrically engineered over local Calabi-Yau 3-folds, for which many of known machineries leading to (refined) indices fail due to the fine-tuning of the…

High Energy Physics - Theory · Physics 2021-03-17 Zhihao Duan , Dongwook Ghim , Piljin Yi

We analyze four-dimensional (4d) $N=1$ superconformal field theories (SCFTs) obtained as deformations of 4d $N=2$ SCFTs on S-folds by tilting 7-branes. Geometric compatibility with the structures of S-folds constrains the forms of T-branes.…

High Energy Physics - Theory · Physics 2021-05-06 Yusuke Kimura

We establish tetrahedral symmetries of 6j-symbols for arbitrary fusion categories under minimal assumptions. As a convenient tool for our calculations we introduce the notion of a veined fusion category, which is generated by a finite set…

Quantum Algebra · Mathematics 2021-07-01 Jürgen Fuchs , Tobias Grøsfjeld

We compute bulk 3- and 4-point tachyon correlators in the 2d Liouville gravity with non-rational matter central charge c<1, following and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the…

High Energy Physics - Theory · Physics 2009-11-11 I. K. Kostov , V. B. Petkova

We construct generalized symmetries in two-dimensional symmetric product orbifold CFTs $\text{Sym}^N(\mathcal{T}),$ for a generic seed CFT $\mathcal{T}$. These symmetries are more general than the universal and maximally symmetric ones…

High Energy Physics - Theory · Physics 2025-12-23 Nathan Benjamin , Suzanne Bintanja , Yu-Jui Chen , Michael Gutperle , Conghuan Luo , Dikshant Rathore

We study a rich set of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with both central charges identical: $a = c$. We construct them via the diagonal $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a…

High Energy Physics - Theory · Physics 2023-03-28 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes. The models obtained by this procedure are $\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge groups, bifundamental…

High Energy Physics - Theory · Physics 2022-02-09 Antonio Amariti , Marco Fazzi , Simone Rota , Alessia Segati
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