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In this paper, we present an explicit construction of twisted traces for quantum Coulomb branches of conical theories. We develop an operator representation of the Coulomb branch algebra and use it to derive integral formulas for the…

Representation Theory · Mathematics 2025-10-24 Keke Zhang

We specify the conjecture about the structure of the Coulomb branch of N=2 supersymmetric quantum field theories in four dimensions.

Algebraic Geometry · Mathematics 2015-10-27 Denis Degtyarev

This paper tests a conjecture on discrete non-Abelian gauging of 3d $\mathcal{N} = 4$ supersymmetric quiver gauge theories. Given a parent quiver with a bouquet of $n$ nodes of rank $1$, invariant under a discrete $S_n$ global symmetry, one…

High Energy Physics - Theory · Physics 2018-09-26 Amihay Hanany , Anton Zajac

We construct the dual supergravity description of strongly coupled, large $N$, eight-supercharge gauge theories with fundamental hypermultiplets at points on the mixed Coulomb-Higgs branch. With certain assumptions about unknown couplings…

High Energy Physics - Theory · Physics 2010-04-05 Zachary Guralnik

We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver $\mathcal{T}$…

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

Three-dimensional supersymmetric Chern-Simons Matter (CSM) theories typically preserve $ \mathcal{N}=3$ supersymmetry but can exhibit enhanced $\mathcal{N}=4$ supersymmetry under special conditions. A detailed understanding of the moduli…

High Energy Physics - Theory · Physics 2025-10-03 Fabio Marino , Marcus Sperling

We study the moduli space of vacua of four dimensional N=1 and N=2 supersymmetric gauge theories with the gauge groups $Sp(2 N_c)$, $SO(2 N_c)$ and $SO(2 N_c +1)$ using the M theory fivebrane. Higgs branches of the N=2 supersymmetric gauge…

High Energy Physics - Theory · Physics 2009-10-30 Seiji Terashima

We discuss 3d brane webs and effective Chern-Simons levels for 3d $\mathcal{N}=2$ gauge theories. We find that turning on real masses for chiral multiplets leads to various equivalent brane webs that are related by flipping positions of…

High Energy Physics - Theory · Physics 2022-07-20 Shi Cheng

We analyze a recently constructed class of D-brane theories with the fermion spectrum of the SM at the intersection of D6-branes wrapping a compact toroidal space. We show how the SM Higgs mechanism appears as a brane recombination effect…

High Energy Physics - Theory · Physics 2009-11-07 D. Cremades , L. E. Ibanez , F. Marchesano

We study the vacuum moduli spaces of 3d N=2 supersymmetric quantum field theories by applying the formalism developed in our previous paper arXiv:1404.5527. The 3d theories can be realized by branes in type IIB string theory, which in a…

High Energy Physics - Theory · Physics 2014-10-28 Akikazu Hashimoto , Peter Ouyang , Masahito Yamazaki

We present a new family of IR dualities in three space-time dimensions with eight supercharges. In contrast to 3d mirror symmetry, these dualities map Coulomb branches to Coulomb branches and Higgs branches to Higgs branches in the deep IR.…

High Energy Physics - Theory · Physics 2024-10-22 Anindya Dey

We study four-dimensional N=1 gauge theories which arise from D3-brane probes of toric Calabi-Yau threefolds. There are some standing paradoxes in the literature regarding relations among (p,q)-webs, toric diagrams and various phases of the…

High Energy Physics - Theory · Physics 2010-04-05 Bo Feng , Yang-Hui He , Francis Lam

Magnetic quivers have been an instrumental technique for advancing our understanding of Higgs branches of supersymmetric theories with 8 supercharges. In this work, we present the decay and fission algorithm for unitary magnetic quivers. It…

High Energy Physics - Theory · Physics 2025-03-11 Antoine Bourget , Marcus Sperling , Zhenghao Zhong

We study the quantum moduli space of N=2 Chern-Simons quivers with generic ranks and CS levels, proving along the way exact formulas for the charges of bare monopole operators. We then derive N=2 Chern-Simons quiver theories dual to AdS_4 x…

High Energy Physics - Theory · Physics 2011-09-13 Francesco Benini , Cyril Closset , Stefano Cremonesi

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

This paper introduces two operations in quiver gauge theories. The first operation takes a quiver with a permutation symmetry $S_n$ and gives a quiver with adjoint loops. The corresponding 3d $\mathcal{N}=4$ Coulomb branches are related by…

High Energy Physics - Theory · Physics 2024-09-27 Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

We propose Type IIB 5-brane configurations that engineer the 6d $\mathcal{N}=(1,0)$ SCFTs with $SO(N)$ gauge symmetry coupled to a single tensor multiplet on a circle, by considering RG flows on Higgs branches of $D$-type conformal matter…

High Energy Physics - Theory · Physics 2020-10-28 Hee-Cheol Kim , Sung-Soo Kim , Kimyeong Lee

M-theory geometric engineering on manifolds of special holonomy yields a rich class of novel field theories. In this paper, we construct new 3d $\mathcal{N}=2^{\ast}$ and $\mathcal{N}=4^{\ast}$ gauge theories, realized as mass-deformations…

High Energy Physics - Theory · Physics 2026-03-26 Marwan Najjar

We use dielectric branes to find non singular string theory duals of a perturbed 2+1 dimensional gauge theory living on D2 branes. By adding fermion masses we obtain theories with reduced supersymmetry. The Higgs vacua of the perturbed…

High Energy Physics - Theory · Physics 2009-10-31 Iosif Bena , Aleksey Nudelman

We study quiver gauge theories on D7-branes wrapped over vanishing holomorphic 4-cycles. We investigate how to incorporate O7-planes and/or flavor D7-branes, which are necessary to cancel anomalies. These theories are chiral, preserve four…

High Energy Physics - Theory · Physics 2011-01-27 Sebastian Franco , Gonzalo Torroba