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We propose Swampland constraints on consistent 5-dimensional ${\cal N}=1$ supergravity theories. We focus on a special class of BPS magnetic monopole strings which arise in gravitational theories. The central charges and the levels of…

High Energy Physics - Theory · Physics 2020-08-26 Sheldon Katz , Hee-Cheol Kim , Houri-Christina Tarazi , Cumrun Vafa

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory,…

High Energy Physics - Theory · Physics 2023-08-02 Fabio Apruzzi , Federico Bonetti , Iñaki García Etxebarria , Saghar S. Hosseini , Sakura Schafer-Nameki

A complete study of local singularities of rank two $\mathcal{N}=2$ Coulomb branch geometry is given. Low energy theory associated with the local singularity is identified: it can be superconformal field theory (SCFT), or IR free gauge…

High Energy Physics - Theory · Physics 2022-12-06 Dan Xie

5d Superconformal Field Theories (SCFTs) are intrinsically strongly-coupled UV fixed points, whose realization hinges on string theoretic methods: they can be constructed by compactifying M-theory on local Calabi-Yau threefold singularities…

High Energy Physics - Theory · Physics 2025-03-05 Antoine Bourget , Andrés Collinucci , Sakura Schafer-Nameki

Compactification of M-theory and of IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. The resolutions and deformations of the singularities encode salient…

High Energy Physics - Theory · Physics 2023-03-22 Cyril Closset , Sakura Schafer-Nameki , Yi-Nan Wang

We study six dimensional supergravity theories with superconformal sectors (SCFTs). Instances of such theories can be engineered using type IIB strings, or more generally F-Theory, which translates field theoretic constraints to geometry.…

High Energy Physics - Theory · Physics 2022-01-03 Andreas P. Braun , Magdalena Larfors , Paul-Konstantin Oehlmann

In this letter we describe an infinite family of new N=1 AdS_5/CFT_4 dual pairs which arise from M5-branes wrapping Riemann surfaces in Calabi-Yau threefolds. We use the relevant brane constructions to compute the central charges of the…

High Energy Physics - Theory · Physics 2012-06-15 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht

The trinions $T_N$ are a class of 5d $\mathcal{N}=1$ superconformal field theories (SCFTs) realized as M-theory on $\mathbb{C}^3/\mathbb{Z}_N \times \mathbb{Z}_N$. We apply to $T_N$, as well as closely-related SCFTs that are obtained by…

High Energy Physics - Theory · Physics 2020-08-26 Julius Eckhard , Sakura Schafer-Nameki , Yi-Nan Wang

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form $R^d \times \Sigma$ where $\Sigma$ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann…

High Energy Physics - Theory · Physics 2016-12-28 Juan Maldacena , Carlos Nunez

We study the compactification of 4D $\mathcal{N}=3$ superconformal field theories (SCFTs) on $S^1$, focusing on the relation between the 4D superconformal index and 3D partition function on the squashed sphere $S^3_b$. Since the center…

High Energy Physics - Theory · Physics 2023-04-19 Tomoki Nakanishi , Takahiro Nishinaka

The data of a "2D field theory with a closed string compactification" is an equivariant chain level action of a cell decomposition of the union of all moduli spaces of punctured Riemann surfaces with each component compactified as a…

Geometric Topology · Mathematics 2007-10-24 Dennis Sullivan

We study 4d N=1 supersymmetric theories of class S_k, obtained from flux compactifications on a Riemann surface of 6d (1,0) conformal theories describing the low energy physics on a stack of M5 branes probing a Z_k singularity. We…

High Energy Physics - Theory · Physics 2018-08-15 Shlomo S. Razamat , Evyatar Sabag

We initiate a systematic study of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant…

High Energy Physics - Theory · Physics 2017-11-06 Philip Argyres , Matteo Lotito , Yongchao Lü , Mario Martone

A large family of 4d N=2 SCFT's was introduced in arXiv:1210.2886. Its elements $D_p(G)$ are labelled by a positive integer p\in N and a simply-laced Lie group G; their flavor symmetry is at least G. In the present paper we study their…

High Energy Physics - Theory · Physics 2015-06-15 Sergio Cecotti , Michele Del Zotto , Simone Giacomelli

We classify four-dimensional $\mathcal{N}=1$ supersymmetric gauge theories with a simple gauge group admitting a large $N$ limit that flow to non-trivial superconformal fixed points in the infrared. We focus on the cases where the large $N$…

High Energy Physics - Theory · Physics 2025-10-23 Minseok Cho , Ki-Hong Lee , Jaewon Song

Turning on N=2 supersymmetry-preserving relevant operators in a 4-dimensional N=2 superconformal field theory (SCFT) corresponds to a complex deformation compatible with the rigid special Kahler geometry encoded in the low energy effective…

High Energy Physics - Theory · Physics 2010-07-29 Philip C. Argyres , John Wittig

We show that the $\mathcal{N}=(1,0)$ superconformal theory on a single M5 brane on the ALE space of type $G=A_n, D_n, E_n$, when compactified on $T^2$, becomes a class S theory of type $G$ on a sphere with two full punctures and a simple…

High Energy Physics - Theory · Physics 2015-03-24 Kantaro Ohmori , Hiroyuki Shimizu , Yuji Tachikawa , Kazuya Yonekura

We construct Type IIB supergravity solutions with geometry $AdS_6\times S^2$ warped over a disc with two boundary points where 5-branes emerge and punctures with 7-brane monodromy. They describe $(p,q)$ 5-brane junctions with two groups of…

High Energy Physics - Theory · Physics 2019-01-30 Andrea Chaney , Christoph F. Uhlemann

Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points.…

High Energy Physics - Theory · Physics 2017-10-25 Michele Del Zotto , Jonathan J. Heckman , David R. Morrison

We investigate 2d $\mathcal{N}=(0,4)$ supersymmetric theories obtained from a topologically-twisted reduction of 4d $\mathcal{N}=2$ class $\mathcal{S}$ theories on a Riemann surface. This study addresses subtle aspects of central charges,…

High Energy Physics - Theory · Physics 2026-05-25 Wei Cui , Junkang Huang , Zi-Xiao Huang , Satoshi Nawata , Shutong Zhuang