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In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the…

高能物理 - 理论 · 物理学 2016-08-03 Gabi Zafrir

Six-dimensional superconformal field theories (SCFTs) give rise to four-dimensional (4d) ones when compactified on Riemann surfaces. In the $\mathcal{N}=(2,0)$ case, this yields the famous class S family. For $\mathcal{N}=(1,0)$ theories…

高能物理 - 理论 · 物理学 2025-10-22 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We construct chiral N=1 gauge theories in 4D by compactifying the 6D Blum-Intriligator (1,0) theories of 5-branes at $A_k$ singularities on $T^2$ with a nontrivial bundle of the global U(1) symmetry of these theories.

高能物理 - 理论 · 物理学 2009-10-31 Chang S. Chan , Ori J. Ganor , Morten Krogh

In arXiv:1906.11820 and arXiv:1907.05404 we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d $\mathcal{N}= (1,0)$ SCFTs. The graphs, so-called combined…

高能物理 - 理论 · 物理学 2021-02-17 Fabio Apruzzi , Craig Lawrie , Ling Lin , Sakura Schafer-Nameki , Yi-Nan Wang

We consider the 6d (1,0) SCFT on a stack of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_2$ singularity. In particular, we study its compactifications to four dimensions on a smooth genus-$g$ Riemann surface with non-trivial flavor flux,…

高能物理 - 理论 · 物理学 2020-02-19 Ibrahima Bah , Federico Bonetti

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…

高能物理 - 理论 · 物理学 2016-09-21 David R. Morrison , Cumrun Vafa

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…

高能物理 - 理论 · 物理学 2022-10-28 Oscar Chacaltana , Jacques Distler , Anderson Trimm

We consider the dimensional reduction on a torus of the family of 6d $(1,0)$ SCFTs UV completing an $so(N)$ gauge theory with $N-8$ vector hypermultiplets. These SCFTs are known to possess a rich structure of discrete symmetries, notably…

高能物理 - 理论 · 物理学 2025-03-04 Gabi Zafrir

6d SCFTs compactified on a circle can often be studied from nonperturbative 5d super-Yang-Mills theories, using instanton solitons. However, the 5d Yang-Mills theories with 6d UV fixed points frequently have too many hypermultiplet matters,…

高能物理 - 理论 · 物理学 2016-12-21 Youngbin Yun

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…

高能物理 - 理论 · 物理学 2025-09-09 Jonathan J. Heckman , Tom Rudelius

In this paper we study compactifications of ADE type conformal matter, N M5 branes probing ADE singularity, on torus with flux for global symmetry. We systematically construct the four dimensional theories by first going to five dimensions…

高能物理 - 理论 · 物理学 2018-10-17 Hee-Cheol Kim , Shlomo S. Razamat , Cumrun Vafa , Gabi Zafrir

We present a new construction of four dimensional $\mathcal N=3$ theories, given by M5 branes wrapping a $T^2$ in an M-theory U-fold background. The resulting setup generalizes the one used in the usual class $\mathcal S$ construction of…

高能物理 - 理论 · 物理学 2018-01-17 Iñaki García-Etxebarria , Diego Regalado

We study $5d$ gauge theories that go in the UV to $6d$ $\mathcal{N}$$=(1,0)$ SCFT. We focus on these theories that can be engineered in string theory by brane webs. Given a theory in this class, we propose a method to determine the $6d$…

高能物理 - 理论 · 物理学 2016-02-02 Gabi Zafrir

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…

高能物理 - 理论 · 物理学 2023-06-14 Vladimir Bashmakov , Michele Del Zotto , Azeem Hasan , Justin Kaidi

We consider a class of (orbifolds of) M-theory compactifications on $S^{d} \times T^{7-d}$ with gauge fluxes yielding minimally supersymmetric STU-models in 4D. We present a group-theoretical derivation of the corresponding flux-induced…

高能物理 - 理论 · 物理学 2015-05-20 Ulf Danielsson , Giuseppe Dibitetto

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify…

高能物理 - 理论 · 物理学 2018-04-04 Fabio Apruzzi , Jonathan J. Heckman , Tom Rudelius

We construct M-theory curves associated with brane configurations of SU(N), SO(N) and $Sp(2N)$ 5d supersymmetric gauge theories compactified on a circle. From the curves we can account for all the existing different SU(N) field theories…

高能物理 - 理论 · 物理学 2010-11-19 A. Brandhuber , N. Itzhaki , J. Sonnenschein , S. Theisen , S. Yankielowizc

We consider a class of 6D superconformal field theories (SCFTs) which have a large $N$ limit and a semi-classical gravity dual description. Using the quiver-like structure of 6D SCFTs we study a subsector of operators protected from large…

高能物理 - 理论 · 物理学 2020-11-19 Jonathan J. Heckman

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…

高能物理 - 理论 · 物理学 2024-12-12 Federico Bonetti , Michele Del Zotto , Ruben Minasian

Recent work has established a uniform characterization of most 6D SCFTs in terms of generalized quivers with conformal matter. Compactification of the partial tensor branch deformation of these theories on a $T^2$ leads to 4D $\mathcal{N} =…

高能物理 - 理论 · 物理学 2022-09-01 Florent Baume , Jonathan J. Heckman , Craig Lawrie