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Related papers: 5d SCFTs from $(E_n,E_m)$ Conformal Matter

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In this paper, we explore the zoo of 5d superconformal field theories (SCFTs) constructed from M-theory on Isolated Complete Intersection Singularities (ICIS). We systematically investigate the crepant resolution of such singularities, and…

High Energy Physics - Theory · Physics 2023-11-29 Jisheng Mu , Yi-Nan Wang , Hao N. Zhang

Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the moduli space of the Riemann surface is part of the moduli space of the theory. In…

High Energy Physics - Theory · Physics 2016-09-21 David R. Morrison , Cumrun Vafa

In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular those of conformal matter type, on K\"ahler 4-manifolds. We show how this can be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau fourfolds…

High Energy Physics - Theory · Physics 2024-10-10 Jin Chen , Zhuo Chen , Wei Cui , Babak Haghighat

This paper gives a classification of rank one 5d $\mathcal{N}=1$ and 6d $(1,0)$ SCFTs. The idea is to compactify 5d theory on $S^1$ and 6d theory on $T^2$ to get effective 4d $\mathcal{N}=2$ theory. These compactified theories all have a 4d…

High Energy Physics - Theory · Physics 2022-11-01 Dan Xie

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

Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most…

High Energy Physics - Theory · Physics 2016-06-22 Yifan Wang , Dan Xie , Stephen S. -T. Yau , Shing-Tung Yau

A single M5-brane probing G, an ADE-type singularity, leads to a system which has G x G global symmetry and can be viewed as "bifundamental" (G,G) matter. For the A_N series, this leads to the usual notion of bifundamental matter. For the…

High Energy Physics - Theory · Physics 2015-06-22 Michele Del Zotto , Jonathan J. Heckman , Alessandro Tomasiello , Cumrun Vafa

We consider compactifications of $6d$ minimal $(D_{N+3},D_{N+3})$ type conformal matter SCFTs on a generic Riemann surface. We derive the theories corresponding to three punctured spheres (trinions) with three maximal punctures, from which…

High Energy Physics - Theory · Physics 2020-06-26 Shlomo S. Razamat , Evyatar Sabag

We engineer a large new set of four-dimensional N=1 superconformal field theories by wrapping M5-branes on complex curves. We present new supersymmetric AdS_5 M-theory backgrounds which describe these fixed points at large N, and then…

High Energy Physics - Theory · Physics 2012-06-05 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht

We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In…

High Energy Physics - Theory · Physics 2019-05-02 Hirotaka Hayashi , Patrick Jefferson , Hee-Cheol Kim , Kantaro Ohmori , Cumrun Vafa

We consider generalisations of the recently proposed supersymmetry breaking deformation of the 5d rank-1 $E_1$ superconformal field theory to higher rank. We generalise the arguments to theories which admit a mass deformation leading to…

High Energy Physics - Theory · Physics 2024-01-31 Mohammad Akhond , Masazumi Honda , Francesco Mignosa

We study the geometry of 4d N=1 SCFT's arising from compactification of 6d (1,0) SCFT's on a Riemann surface. We show that the conformal manifold of the resulting theory is characterized, in addition to moduli of complex structure of the…

High Energy Physics - Theory · Physics 2017-04-13 Shlomo S. Razamat , Cumrun Vafa , Gabi Zafrir

We propose a number of apparently equivalent criteria necessary for the consistency of a 5d SCFT in its Coulomb phase and use these criteria to classify 5d SCFTs arising from a gauge theory with simple gauge group. These criteria include…

High Energy Physics - Theory · Physics 2023-05-17 Patrick Jefferson , Hee-Cheol Kim , Cumrun Vafa , Gabi Zafrir

Six-dimensional superconformal field theories (6D SCFTs) occupy a central place in the study of quantum field theories encountered in high energy theory. This article reviews the top down construction and study of this rich class of quantum…

High Energy Physics - Theory · Physics 2025-09-09 Jonathan J. Heckman , Tom Rudelius

We study (1,0) and (2,0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity C^2 / G with G a discrete subgroup of U(2). When G is a subgroup of…

High Energy Physics - Theory · Physics 2015-06-18 Jonathan J. Heckman , David R. Morrison , Cumrun Vafa

Magnetic quivers and Hasse diagrams for Higgs branches of rank $r$ 4d $\mathcal{N}=2$ SCFTs arising from $\mathbb{Z}_{\ell}$ $\mathcal{S}$-fold constructions are discussed. The magnetic quivers are derived using three different methods: 1)…

High Energy Physics - Theory · Physics 2021-02-24 Antoine Bourget , Simone Giacomelli , Julius F. Grimminger , Amihay Hanany , Marcus Sperling , Zhenghao Zhong

Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain…

High Energy Physics - Theory · Physics 2021-06-02 Cyril Closset , Simone Giacomelli , Sakura Schafer-Nameki , Yi-Nan Wang

In this note, we discuss circle compactifications of 6d SCFTs for which a geometric M-theory construction is not known in previous literature.

High Energy Physics - Theory · Physics 2020-05-06 Lakshya Bhardwaj

We consider all 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ arising from the compactification of exceptional 6d $(2,0)$ SCFTs on a three-punctured sphere with a simple puncture. We find that each of these 4d theories has another…

High Energy Physics - Theory · Physics 2022-11-29 Florent Baume , Monica Jinwoo Kang , Craig Lawrie

Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor…

High Energy Physics - Theory · Physics 2017-09-20 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov