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Recent work on 6D superconformal field theories (SCFTs) has established an intricate correspondence between certain Higgs branch deformations and nilpotent orbits of flavor symmetry algebras associated with T-branes. In this paper, we…

High Energy Physics - Theory · Physics 2020-04-29 Falk Hassler , Jonathan J. Heckman , Thomas B. Rochais , Tom Rudelius , Hao Y. Zhang

Any N=2 superconformal field theory (SCFT) in four dimensions has a sector of operators related to a two-dimensional chiral algebra containing a Virasoro sub-algebra. Moreover, there are well-known examples of isolated SCFTs whose chiral…

High Energy Physics - Theory · Physics 2016-11-23 Matthew Buican , Takahiro Nishinaka

We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for…

High Energy Physics - Theory · Physics 2026-05-19 M. Billo , A. Lerda , A. Testa

S-folds are a non-perturbative generalization of orientifold 3-planes which figure prominently in the construction of 4D $\mathcal{N} = 3$ SCFTs and have also recently been used to realize examples of 4D $\mathcal{N} = 2$ SCFTs. In this…

High Energy Physics - Theory · Physics 2021-04-28 Jonathan J. Heckman , Craig Lawrie , Thomas B. Rochais , Hao Y. Zhang , Gianluca Zoccarato

We develop the conformal bootstrap program for six-dimensional conformal field theories with $(2,0)$ supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward…

High Energy Physics - Theory · Physics 2016-01-27 Christopher Beem , Madalena Lemos , Leonardo Rastelli , Balt C. van Rees

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

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses N=2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a…

High Energy Physics - Theory · Physics 2009-11-13 Igor Klebanov , Thomas Klose , Arvind Murugan

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…

High Energy Physics - Theory · Physics 2025-10-22 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We study the modular symmetric standard-model effective field theory. We employ the stringy Ansatz on coupling structure that 4-point couplings $y^{(4)}$ of matter fields are written by a product of 3-point couplings $y^{(3)}$ of matter…

High Energy Physics - Phenomenology · Physics 2022-04-06 Tatsuo Kobayashi , Hajime Otsuka , Morimitsu Tanimoto , Kei Yamamoto

In this Letter, we demonstrate that the Symmetry Topological Field Theory (SymTFT) associated to a Quantum Field Theory (QFT) with continuous non-abelian $G$-flavor symmetry is a $BF$-theory with gauge group $G$. We show that gauging…

High Energy Physics - Theory · Physics 2025-04-18 Qiang Jia , Ran Luo , Jiahua Tian , Yi-Nan Wang , Yi Zhang

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

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

We discuss charged lepton flavor violation in supersymmetric models with extended leptonic sectors at low energies. Contrary to the usual high-scale realizations of the seesaw mechanism, these non-minimal supersymmetric models have new…

High Energy Physics - Phenomenology · Physics 2015-06-17 A. Vicente

We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d $\mathcal{N}=(1,0)$ SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine…

High Energy Physics - Theory · Physics 2020-08-07 Fabio Apruzzi , Sakura Schafer-Nameki , Yi-Nan Wang

We study the conformal bootstrap constraints for 3D conformal field theories with a $\mathbb{Z}_2$ or parity symmetry, assuming a single relevant scalar operator $\epsilon$ that is invariant under the symmetry. When there is additionally a…

High Energy Physics - Theory · Physics 2018-12-05 Alexander Atanasov , Aaron Hillman , David Poland

We discuss flavor symmetries in left-right symmetric theories. We show that such frameworks are a different environment for flavor symmetry model building compared to the usually considered cases. This does not only concern the need to obey…

High Energy Physics - Phenomenology · Physics 2016-04-20 Werner Rodejohann , Xun-Jie Xu

We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which…

High Energy Physics - Theory · Physics 2021-02-24 Zhihao Duan , June Nahmgoong

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 generalize S-duality to N=2 superconformal field theories (SCFTs) with Coulomb branch operators of non-integer scaling dimension. As simple examples, we find minimal generalizations of the S-dualities discovered in SU(2) gauge theory…

High Energy Physics - Theory · Physics 2015-06-23 Matthew Buican , Simone Giacomelli , Takahiro Nishinaka , Constantinos Papageorgakis

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