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We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise…

High Energy Physics - Theory · Physics 2021-06-04 Mohammad Akhond , Federico Carta , Siddharth Dwivedi , Hirotaka Hayashi , Sung-Soo Kim , Futoshi Yagi

This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional $\mathcal{N}=2$ SCFTs. In the first two papers we developed and carried out a strategy for classifying and constructing physical planar…

High Energy Physics - Theory · Physics 2018-01-30 Philp Argyres , Matteo Lotito , Yongchao Lü , Mario Martone

We consider $d=2$, $\mathcal{N}=(0,2)$ SCFTs that can arise from M5-branes wrapping four-dimensional, complex, toric manifolds and orbifolds. We use equivariant localization to compute the off-shell central charge of the dual supergravity…

High Energy Physics - Theory · Physics 2023-11-10 Pietro Benetti Genolini , Jerome P. Gauntlett , James Sparks

Two new diagrammatic techniques on $3d\;\mathcal N=4$ quiver gauge theories, termed chain and cyclic quiver polymerisation are introduced. These gauge a diagonal $\mathrm{SU}/\mathrm{U}(k)$ subgroup of the Coulomb branch global symmetry of…

High Energy Physics - Theory · Physics 2024-12-13 Amihay Hanany , Rudolph Kalveks , Guhesh Kumaran

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

There are two major ways of constructing 4d $\mathcal{N}=2$ superconformal field theories (SCFTs): the first one is putting a 6d $(2,0)$ theory on a punctured Riemann surface (class-S theory), and the second one is putting type IIB string…

High Energy Physics - Theory · Physics 2023-05-31 Bohan Li , Dan Xie , Wenbin Yan

We describe a block-spin-like transformation on a simplified subset of the space of supersymmetric quiver gauge theories that arise on the worldvolumes of D-brane probes of orbifold geometries, by sequentially Higgsing the gauge symmetry in…

High Energy Physics - Theory · Physics 2007-05-23 K. Narayan , M. Ronen Plesser

Two highly successful approaches to constructing 5d SCFTs are geometric engineering using M-theory on a Calabi-Yau 3-fold and the use of 5-brane webs suspended from 7-branes in Type IIB string theory. In the brane web realization, the…

High Energy Physics - Theory · Physics 2024-11-05 Ignacio Carreño Bolla , Sebastián Franco , Diego Rodríguez-Gómez

We consider Spin(4)-equivariant dimensional reduction of Yang-Mills theory on manifolds of the form $M^d \times T^{1,1}$, where $M^d$ is a smooth manifold and $T^{1,1}$ is a five-dimensional Sasaki-Einstein manifold Spin(4)/U(1). We obtain…

High Energy Physics - Theory · Physics 2016-05-04 Jakob C. Geipel , Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

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

We extend the investigation of the recently introduced class ${\cal S}_k$ of 4d $\mathcal{N}=1$ SCFTs, by considering a large family of quiver gauge theories within it, which we denote $\mathcal{S}^1_k$. These theories admit a realization…

High Energy Physics - Theory · Physics 2015-08-12 Sebastian Franco , Hirotaka Hayashi , Angel Uranga

The Higgs branch of 4d $\mathcal{N}=2$ SCFTs can be analyzed via the Hilbert series of the Higgs branch or, in special cases, by computing the Hall-Littlewood index. For any class $\mathcal{S}$ theory corresponding to a genus-zero Riemann…

High Energy Physics - Theory · Physics 2023-02-09 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Matteo Sacchi , Jaewon Song

We consider the circle and torus compactification of a certain subclass of 6d $\mathcal{N}=(1,0)$ SCFTs which are Higgsable to the higher rank E-string theories. Using the T-duality between Type I' and Type IIB, we found that the $S^1$…

High Energy Physics - Theory · Physics 2016-03-23 Kantaro Ohmori , Hiroyuki Shimizu

A thick brane in six dimensions is constructed using two scalar fields. The field equations for 6D gravity plus the scalar fields are solved numerically. This thick brane solution shares some features with a previously studied analytic…

High Energy Physics - Theory · Physics 2008-11-26 Vladimir Dzhunushaliev , Vladimir Folomeev , Douglas Singleton , Sergio Aguilar-Rudametkin

Global symmetry anomalies of a quantum field theory (QFT) can be packaged as specific couplings of a higher-dimensional symmetry theory (SymTh). In this work we show that for 5D superconformal field theories (SCFTs) engineered from M-theory…

High Energy Physics - Theory · Physics 2026-05-29 Vivek Chakrabhavi , Mirjam Cvetič , Jonathan J. Heckman , Shani Meynet

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 $6d$…

High Energy Physics - Theory · Physics 2016-02-02 Gabi Zafrir

A class of 4d $\mathcal{N}=3$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of $\mathcal{N}=4$ Super Yang-Mills theory. This discrete subgroup contains elements of both the $SU(4)$ R-symmetry group and…

High Energy Physics - Theory · Physics 2020-12-11 Thomas Bourton , Alessandro Pini , Elli Pomoni

Higgs branch of N=2 SQCD is studied from the M theory viewpoint. With a differential geometrical proof of the s-rule besides an investigation on the global symmetry of M theory brane configurations, an exact description of the baryonic and…

High Energy Physics - Theory · Physics 2008-02-03 Toshio Nakatsu , Kazutoshi Ohta , Takashi Yokono , Yuhsuke Yoshida

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…

High Energy Physics - Theory · Physics 2018-01-17 Iñaki García-Etxebarria , Diego Regalado

We study a class of N=1 quiver gauge theories build out of vector multiplets and matter multiplets in the fundamental and bifundamental representations. We argue that these theories flow to interacting SCFTs in the IR and calculate their…

High Energy Physics - Theory · Physics 2015-06-16 Ibrahima Bah , Nikolay Bobev