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Related papers: Do all 5d SCFTs descend from 6d SCFTs?

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We use the F-theory realization of 6D superconformal field theories (SCFTs) to study the corresponding spectrum of stringlike, i.e. surface defects. On the tensor branch, all of the stringlike excitations pick up a finite tension, and there…

High Energy Physics - Theory · Physics 2016-05-25 Michele Del Zotto , Jonathan J. Heckman , Daniel S. Park , Tom Rudelius

There exist 4d $\mathcal{N}=2$ SCFTs in class $\mathcal{S}$ which have different constructions as punctured Riemann surfaces, but which nevertheless appear to describe the same physics. Some of these class $\mathcal{S}$ theories have an…

High Energy Physics - Theory · Physics 2023-05-17 Jacques Distler , Grant Elliot , Monica Jinwoo Kang , Craig Lawrie

We use a combination of AdS/CFT and supersymmetric localization to study codimension-2 defects in 5d SCFTs and their gauge theory deformations. The 5d SCFTs are engineered by $(p,q)$ 5-brane webs, with defects realized by D3-branes ending…

High Energy Physics - Theory · Physics 2023-06-28 Leonardo Santilli , Christoph F. Uhlemann

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 the infrared physics of 5d $\cal N=1$ Yang-Mills theories compactified on $\mathbb{S}^1$, with a view toward 4d and 5d limits. Global structures of the simplest Coulombic moduli spaces are outlined, with an emphasis on how multiple…

High Energy Physics - Theory · Physics 2022-03-09 Qiang Jia , Piljin Yi

We study compactifications of the $N=2$ 6D tensionless string on various complex two-folds down to two-dimensions. In the IR limit they become non-trivial conformal field theories in 2D. Using results of Vafa and Witten on the partition…

High Energy Physics - Theory · Physics 2008-02-03 Ori J. Ganor

We show how recent progress in computing elliptic genera of strings in six dimensions can be used to obtain expressions for elliptic genera of strings in five-dimensional field theories which have a six-dimensional parent. We further…

High Energy Physics - Theory · Physics 2016-02-17 Babak Haghighat

Compactifications of 6d N=(1,0) SCFTs give rise to new 4d N=1 SCFTs and shed light on interesting dualities between such theories. In this paper we continue exploring this line of research by extending the class of compactified 6d theories…

High Energy Physics - Theory · Physics 2020-01-29 Jin Chen , Babak Haghighat , Shuwei Liu , Marcus Sperling

We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a two-dimensional torus and an ALE singularity. We determine the result by exploiting BPS strings probing…

High Energy Physics - Theory · Physics 2024-02-21 Michele Del Zotto , Guglielmo Lockhart

Much insight into the dynamics of quantum field theories can be gained by studying the relationship between field theories in different dimensions. An interesting observation is that when two theories are related by dimensional reduction on…

High Energy Physics - Theory · Physics 2023-05-16 Matteo Sacchi , Orr Sela , Gabi Zafrir

String theory is the prime candidate for the theory of everything. However, it must be defined in ten dimensions to be consistent. To get 4D physics, the 6 other dimensions should be curled up in a small compact manifold, this procedure is…

High Energy Physics - Theory · Physics 2022-11-02 Poula Tadros , Iiro Vilja

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 study the non-invertible symmetries of class $\mathcal{S}$ theories obtained by compactifying the type $\mathfrak{a}_{p-1}$ 6d (2,0) theory on a genus $g$ Riemann surface with no punctures. After setting up the general framework, we…

High Energy Physics - Theory · Physics 2023-06-14 Vladimir Bashmakov , Michele Del Zotto , Azeem Hasan , Justin Kaidi

We revisit 6d (2,0) SCFTs of type $D_N$ and their realization in M-theory, focusing on absolute variants of these theories and on their global finite 0- and 2-form symmetries. We derive the 7d SymTFT capturing these global symmetries from…

High Energy Physics - Theory · Physics 2024-12-12 Federico Bonetti , Michele Del Zotto , Ruben Minasian

We study strings associated with minimal 6d SCFTs, which by definition have only one string charge and no Higgs branch. These theories are labelled by a number n with 1 <= n <= 8 or n = 12. Quiver theories have previously been proposed…

High Energy Physics - Theory · Physics 2016-01-20 Babak Haghighat , Albrecht Klemm , Guglielmo Lockhart , Cumrun Vafa

We use F-theory to classify possibly all six-dimensional superconformal field theories (SCFTs). This involves a two step process: We first classify all possible tensor branches allowed in F-theory (which correspond to allowed collections of…

High Energy Physics - Theory · Physics 2016-01-20 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

We study the space of 3d ${\cal N} = 6$ SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the…

High Energy Physics - Theory · Physics 2021-05-26 Damon J. Binder , Shai M. Chester , Max Jerdee , Silviu S. Pufu

A Cardy formula for 6d superconformal field theories (SCFTs) conjectured by Di Pietro and Komargodski in [1] governs the universal behavior of the supersymmetric partition function on $S^1_\beta \times S^5$ in the limit of small $\beta$ and…

High Energy Physics - Theory · Physics 2020-11-10 Chi-Ming Chang , Martin Fluder , Ying-Hsuan Lin , Yifan Wang

We attempt to review all trustworthy and well-controlled de Sitter compactifications of string theory.

High Energy Physics - Theory · Physics 2023-04-03 Iosif Bena , Mariana Graña , Thomas Van Riet

We study 4D N=2 superconformal field theories that arise from the compactification of 6D N=(2,0) theories of type D_N on a Riemann surface, in the presence of punctures twisted by a Z_2 outer automorphism. Unlike the untwisted case, the…

High Energy Physics - Theory · Physics 2022-10-28 Oscar Chacaltana , Jacques Distler , Anderson Trimm