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A new type of quiver theories, denoted twin quivers, was recently introduced for studying $5d$ SCFTs engineered by webs of 5-branes ending on 7-branes. Twin quivers provide an alternative perspective on various aspects of such webs,…

High Energy Physics - Theory · Physics 2023-10-18 Sebastian Franco , Diego Rodriguez-Gomez

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

We present an algorithm to extract the Coulomb branch Hasse diagram of orthosymplectic 3d $\mathcal{N}=4$ quiver gauge theories. The algorithm systematically predicts all descendant theories arising from Coulomb branch Higgsing, thereby…

High Energy Physics - Theory · Physics 2024-12-20 Craig Lawrie , Lorenzo Mansi , Marcus Sperling , Zhenghao Zhong

We show that for a large subclass of Argyres-Douglas-type theories, the Higgs branch admits multiple hyperkahler quotient realizations as Higgs branches of three dimensional $\mathcal{N}=4$ quiver gauge theories, which are related by a…

High Energy Physics - Theory · Physics 2023-11-23 Anindya Dey

We consider equivariant dimensional reduction of Yang-Mills theory on K"ahler manifolds of the form M times CP^1 times CP^1. This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded…

High Energy Physics - Theory · Physics 2010-02-03 Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

We study the Higgs branches of the superconformal points of four-dimensional N=2 super Yang-Mills (SYM) which appear due to the occurrence of mutually local monopoles having appropriate charges. We show, for example, that the maximal…

High Energy Physics - Theory · Physics 2015-06-05 Philip C. Argyres , Kazunobu Maruyoshi , Yuji Tachikawa

This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm. All possible minimal transitions…

High Energy Physics - Theory · Physics 2025-02-25 Sam Bennett , Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

We study the stratification of the singular locus of four dimensional $\mathcal{N}=2$ Coulomb branches. We present a set of self-consistency conditions on this stratification which can be used to extend the classification of scale-invariant…

High Energy Physics - Theory · Physics 2020-12-30 Philip C. Argyres , Mario Martone

We present a short review of theories based on warped extra dimensions (motivated by the hierarchy problem of the Standard Model) which can accomodate a Higgs boson in the range suggested by the recent LHC results at 7 TeV. Using the…

High Energy Physics - Phenomenology · Physics 2012-06-21 M. Quiros

We introduce continuous rank functions for field theories with linear quivers, and demonstrate they describe infinitely long quivers. In the context of AdS/CFT, these 'continuous quivers' have well-defined supergravity dual descriptions…

High Energy Physics - Theory · Physics 2019-11-18 Jeroen van Gorsel

We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This…

High Energy Physics - Theory · Physics 2022-06-29 Sebastian Franco , Diego Rodriguez-Gomez

We present a general prescription for constructing 3d $\mathcal{N}=4$ Lagrangians for the IR SCFTs that arise from the circle reduction of a large class of Argyres-Douglas theories. The resultant Lagrangian gives a realization of the Higgs…

High Energy Physics - Theory · Physics 2022-10-12 Anindya Dey

We classify 5d N=1 gauge theories carrying a simple gauge group that can arise by mass-deforming 5d SCFTs and 6d SCFTs (compactified on a circle, possibly with a twist). For theories having a 6d UV completion, we determine the tensor branch…

High Energy Physics - Theory · Physics 2020-12-30 Lakshya Bhardwaj , Gabi Zafrir

We determine all 5d SCFTs upto rank three by studying RG flows of 5d KK theories. Our analysis reveals the existence of new rank one and rank two 5d SCFTs not captured by previous classifications. In addition to that, we provide for the…

High Energy Physics - Theory · Physics 2020-08-31 Lakshya Bhardwaj

A distinctive duality present in 3d $\mathcal{N}=4$ theories is the 3d mirror symmetry. Under this duality, the Coulomb (Higgs) branch of one theory corresponds to the Higgs (Coulomb) branch of its mirror dual. This paper is divided into…

High Energy Physics - Theory · Physics 2024-11-25 Zhenghao Zhong

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

Folding identical legs of a simply-laced quiver creates a quiver with a non-simply laced edge. So far, this has been explored for quivers containing unitary gauge groups. In this paper, orthosymplectic quivers are folded, giving rise to a…

High Energy Physics - Theory · Physics 2023-02-23 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Marcus Sperling , Zhenghao Zhong

This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a $3$-dimensional $\mathcal N=4$ SUSY gauge theory was proposed. We ask questions on their expected…

Mathematical Physics · Physics 2026-05-12 Hiraku Nakajima

The classification of 4d $\mathcal{N}=2$ SCFTs boils down to the classification of conical special geometries with closed Reeb orbits (CSG). Under mild assumptions, one shows that the underlying complex space of a CSG is (birational to) an…

High Energy Physics - Theory · Physics 2018-08-15 Matteo Caorsi , Sergio Cecotti

Associated varieties of vertex algebras are analogue of the associated varieties of primitive ideals of the universal enveloping algebras of semisimple Lie algebras. They not only capture some of the important properties of vertex algebras…

Representation Theory · Mathematics 2021-03-30 Tomoyuki Arakawa