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We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence…

High Energy Physics - Theory · Physics 2022-01-19 Marieke van Beest , Simone Giacomelli

We consider supersymmetric gauge theories with impurities in various dimensions. These systems arise in the study of intersecting branes. Unlike conventional gauge theories, the Higgs branch of an impurity theory can have compact…

High Energy Physics - Theory · Physics 2008-11-26 Anton Kapustin , Savdeep Sethi

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

We study the Higgs branch of 5d superconformal theories engineered from brane webs with orientifold five-planes. We propose a generalization of the rules to derive magnetic quivers from brane webs pioneered in arXiv:2004.04082, by analyzing…

High Energy Physics - Theory · Physics 2020-12-29 Mohammad Akhond , Federico Carta , Siddharth Dwivedi , Hirotaka Hayashi , Sung-Soo Kim , Futoshi Yagi

The properties of supersymmetric gauge theories in the Higgs phase at low energies can appropriately be studied by means of a non-linear sigma model, which has the target space being Kahler for N=1 supersymmetric models and hyperKahler for…

High Energy Physics - Theory · Physics 2008-10-29 Sven Bjarke Gudnason

Quiver quantum mechanics describes the low energy dynamics of a system of wrapped D-branes. It captures several aspects of single and multicentered BPS black hole geometries in four-dimensional $\mathcal{N} = 2$ supergravity such as the…

High Energy Physics - Theory · Physics 2013-10-30 Dionysios Anninos , Tarek Anous , Paul de Lange , George Konstantinidis

The infrared dynamics of generic 3d N=4 bad theories (as per the good-bad-ugly classification of Gaiotto and Witten) are poorly understood. Examples of such theories with a single unitary gauge group and fundamental flavors have been…

High Energy Physics - Theory · Physics 2018-05-28 Anindya Dey , Peter Koroteev

We study four dimensional N=1 gauge theories that arise on the worldvolume of D3-branes probing complex cones over del Pezzo surfaces. Global symmetries of the gauge theories are made explicit by using a correspondence between bifundamental…

High Energy Physics - Theory · Physics 2009-11-10 Sebastian Franco , Amihay Hanany , Pavlos Kazakopoulos

In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable…

High Energy Physics - Theory · Physics 2018-01-22 Jan Manschot , Boris Pioline , Ashoke Sen

This paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as an algebraic variety) on the Coulomb branch of an N = 4 superconformal field theory in 2+1 dimensions. Previous techniques involved a…

High Energy Physics - Theory · Physics 2014-01-14 Stefano Cremonesi , Amihay Hanany , Alberto Zaffaroni

We demonstrate the agreement between the Higgs branches of two N=2 theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the…

High Energy Physics - Theory · Physics 2010-01-15 Davide Gaiotto , Andrew Neitzke , Yuji Tachikawa

We study moduli spaces of twisted quasimaps to a hypertoric variety $X$, arising as the Higgs branch of an abelian supersymmetric gauge theory in three dimensions. These parametrise general quiver representations whose building blocks are…

Algebraic Geometry · Mathematics 2023-09-21 Michael McBreen , Artan Sheshmani , Shing-Tung Yau

The Coulomb branches of certain 3-dimensional N=4 quiver gauge theories are closures of nilpotent orbits of classical or exceptional algebras. The monopole formula, as Hilbert series of the associated Coulomb branch chiral ring, has been…

High Energy Physics - Theory · Physics 2018-09-07 Amihay Hanany , Marcus Sperling

Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number…

High Energy Physics - Theory · Physics 2019-01-30 Santiago Cabrera , Amihay Hanany , Futoshi Yagi

To a quiver with involution, we study the Coulomb branch of the 3d $\mathcal{N} = 4$ involution-fixed part of the quiver gauge theory. We show that there is an algebra homomorphism from the corresponding shifted twisted Yangian to the…

Representation Theory · Mathematics 2025-10-15 Yaolong Shen , Changjian Su , Rui Xiong

We formulate a conjectural relation between the category of line defects in topologically twisted 3d ${\cal N} = 4$ supersymmetric quantum field theories and categories of modules for Vertex Operator Algebras of boundary local operators for…

High Energy Physics - Theory · Physics 2018-11-12 Kevin Costello , Thomas Creutzig , Davide Gaiotto

We study the Higgs branch of the SCFT limit of 5d SO(6) and SO(8) gauge theory with hypermultiplets in the spinor and vector representations. In the case of SO(6) gauge theories, we contrast the magnetic quivers obtained with those of SU(4)…

High Energy Physics - Theory · Physics 2022-06-01 Mohammad Akhond , Federico Carta , Siddharth Dwivedi , Hirotaka Hayashi , Sung-Soo Kim , Futoshi Yagi

This is an introduction to a provisional mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ supersymmetric gauge theories, studied in arXiv:1503.03676, arXiv:1601.03586. This is an expanded version of an article…

Representation Theory · Mathematics 2026-05-12 Hiraku Nakajima

We study the low-energy behavior of N=1 supersymmetric gauge theories with product gauge groups SU(N)^M and M chiral superfields transforming in the fundamental representation of two of the SU(N) factors. These theories are in the Coulomb…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Joshua Erlich , Daniel Freedman , Witold Skiba

We study the Higgs branches of five-dimensional N=1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid's pagodas, and Laufer's examples. Our approach consists in reducing to IIA with…

High Energy Physics - Theory · Physics 2021-05-27 Andrés Collinucci , Mario De Marco , Andrea Sangiovanni , Roberto Valandro
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