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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 QCD with massless quarks on $\mathbb{R}^3\times S^1$ under symmetry-twisted boundary conditions with small compactification radius, i.e. at high temperatures. Under suitable boundary conditions, the theory acquires a part of the…

High Energy Physics - Theory · Physics 2019-06-17 Hiromichi Nishimura , Yuya Tanizaki

In this paper we discuss various $N=3$ SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an $N=4$ SYM theories with non-simply laced groups. The main goal of the project was to compute the Coulomb…

High Energy Physics - Theory · Physics 2020-07-15 Mikhail Evtikhiev

Motivated by the observation that $2+2=4$, we consider four-dimensional $\mathcal{N}=2$ superconformal field theories on $S^2\times\Sigma$, turning on a suitable rigid supergravity background. On the one hand, reduction of a…

High Energy Physics - Theory · Physics 2026-01-05 Leonardo Rastelli , Brandon C. Rayhaun , Matteo Sacchi , Gabi Zafrir

We analyze four-dimensional (4d) $N=1$ superconformal field theories (SCFTs) obtained as deformations of 4d $N=2$ SCFTs on S-folds by tilting 7-branes. Geometric compatibility with the structures of S-folds constrains the forms of T-branes.…

High Energy Physics - Theory · Physics 2021-05-06 Yusuke Kimura

Motivated by its potential use in constraining the structure of 6D renormalization group flows, we determine the low energy dilaton-axion effective field theory of conformal and global symmetry breaking in 6D conformal field theories…

High Energy Physics - Theory · Physics 2021-03-26 Jonathan J. Heckman , Sandipan Kundu , Hao Y. Zhang

One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a partial tensor branch, all known theories resemble quiver gauge theories with links comprised of 6D conformal matter, a generalization of weakly coupled…

High Energy Physics - Theory · Physics 2018-10-17 Fabio Apruzzi , Jonathan J. Heckman , David R. Morrison , Luigi Tizzano

We consider a family of Argyres-Douglas theories, which are 4D $\mathcal N=2$ strongly coupled superconformal field theories (SCFTs) but share many features with 4D $\mathcal N=4 $ super-Yang-Mills theories. In particular, the two central…

High Energy Physics - Theory · Physics 2024-03-11 Hongliang Jiang

In this paper we begin mapping out the space of rank-2 $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of theories which can be potentially classified using purely quantum…

High Energy Physics - Theory · Physics 2022-08-10 Mario Martone

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

The SymTFT construction is an efficient way of studying the symmetries of Quantum Field Theories. In this paper we initiate the study of the SymTFT construction for interacting theories on spaces with boundaries, in the concrete example of…

High Energy Physics - Theory · Physics 2025-03-03 Iñaki García Etxebarria , Jesús Huertas , Angel M. Uranga

We identify the 2d topological theory underlying the N=2 4d superconformal index with an explicit model: q-deformed 2d Yang-Mills. By this route we are able to evaluate the index of some strongly-coupled 4d SCFTs, such as Gaiotto's T_N…

High Energy Physics - Theory · Physics 2011-07-26 Abhijit Gadde , Leonardo Rastelli , Shlomo S. Razamat , Wenbin Yan

High-temperature ($q\to1$) asymptotics of 4d superconformal indices of Lagrangian theories have been recently analyzed up to exponentially suppressed corrections. Here we use RG-inspired tools to extend the analysis to the exponentially…

High Energy Physics - Theory · Physics 2025-01-16 Arash Arabi Ardehali , Mario Martone , Martí Rosselló

High-throughput density functional theory (DFT) calculations allow for a systematic search for conventional superconductors. With the recent interest in two-dimensional (2D) superconductors, we used a high-throughput workflow to screen over…

Superconductivity · Physics 2023-02-13 Daniel Wines , Kamal Choudhary , Adam J. Biacchi , Kevin F. Garrity , Francesca Tavazza

We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(2n+1)$ for each $n$. The dual theory is constructed through the diagonal gauging of…

High Energy Physics - Theory · Physics 2023-06-13 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated. Our construction also gives…

High Energy Physics - Theory · Physics 2018-07-04 Philip C. Argyres , Mario Martone

The SCFT/VOA correspondence provides a powerful framework for studying 4d $\mathcal N=2$ superconformal field theories (SCFTs) through the mathematical machinery of 2d vertex operator algebras (VOAs). It captures the Schur operators of the…

High Energy Physics - Theory · Physics 2026-04-01 Hongliang Jiang

We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the $\Omega$-background by its embedding into the renormalisation group flow from five dimensional $\mathcal{N}=1$ superconformal field theories (SCFT) on…

High Energy Physics - Theory · Physics 2025-12-05 Giulio Bonelli , Pavlo Gavrylenko , Ideal Majtara , Alessandro Tanzini

One of the general strategies for realizing a wide class of interacting QFTs is via junctions and intersections of higher-dimensional bulk theories. In the context of string/M-theory, this includes many $D > 4$ superconformal field theories…

High Energy Physics - Theory · Physics 2023-04-10 Bobby Samir Acharya , Michele Del Zotto , Jonathan J. Heckman , Max Hubner , Ethan Torres

We derive explicit formulae to compute the $a$ and $c$ central charges of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also…

High Energy Physics - Theory · Physics 2020-12-30 Mario Martone