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We compute the Higgs branch chiral ring of a simple class of 5d theories at strong coupling. A deformation by the instanton mass implies that the chiral ring at weak coupling is renormalized by a nilpotent operator, the gaugino bilinear.…

High Energy Physics - Theory · Physics 2025-12-01 Amihay Hanany , Elias Van den Driessche

We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra $\mathfrak g$. We analyse classes of quiver theories, with Classical gauge and flavour…

High Energy Physics - Theory · Physics 2019-01-30 Santiago Cabrera , Amihay Hanany , Rudolph Kalveks

We study the Higgs branch and associated vertex operator algebra (VOA) of 4d $\mathcal{N}=2$ superconformal field theories (SCFTs) from the geometric engineering of IIB superstring on canonical threefold singularities. For terminal…

High Energy Physics - Theory · Physics 2026-03-31 Yi-Nan Wang , Wenbin Yan , Peihe Yang

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 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

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

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

5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this…

High Energy Physics - Theory · Physics 2021-04-14 Marieke van Beest , Antoine Bourget , Julius Eckhard , Sakura Schafer-Nameki

It is known that the two- and three-point functions of Higgs-branch superconformal primaries in 4d N=2 superconformal field theories obey non-renormalization theorems on N=2 superconformal manifolds. In this paper we prove a stronger…

High Energy Physics - Theory · Physics 2018-10-03 Vasilis Niarchos

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

Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant…

High Energy Physics - Theory · Physics 2021-12-02 Cyril Closset , Sakura Schafer-Nameki , Yi-Nan Wang

We classify rank zero 5d SCFTs geometrically engineered from M-theory on quasi-homogeneous compound Du Val isolated threefold singularities. For all such theories, we characterize the Higgs Branch, by computing the dimension, the continuous…

High Energy Physics - Theory · Physics 2023-05-08 Mario De Marco , Andrea Sangiovanni , Roberto Valandro

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

In this paper, we study the full Higgs branch Hasse diagram for any given 6d $\mathcal{N}=(1,0)$ SCFT constructed via F-theory. This can be done by a procedure of determining all the minimal Higgsings on the generalized quiver of the 6d…

High Energy Physics - Theory · Physics 2025-05-20 Jiakang Bao , Hao Y. Zhang

We study the singularities of the Higgs branch of supersymmetric U(1)^r gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges by using a geometric…

High Energy Physics - Theory · Physics 2009-10-31 A. Belhaj , E. H. Saidi

This paper explores 3d $\mathcal{N}=4$ quiver gauge theories whose moduli spaces represent nilpotent orbits, S\l odowy slices or, more generally, S\l odowy intersections, which span the Special Pieces of nilcones of Classical or Exceptional…

High Energy Physics - Theory · Physics 2026-03-25 Sam Bennett , Amihay Hanany , Rudolph Kalveks

We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N=4 superconformal gauge theories T^{\sigma}_{\rho}(G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3…

High Energy Physics - Theory · Physics 2015-06-23 Stefano Cremonesi , Amihay Hanany , Noppadol Mekareeya , Alberto Zaffaroni

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

We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional N=2 superconformal field theories recently constructed by Gaiotto. Our diagrammatic method allows to easily…

High Energy Physics - Theory · Physics 2009-09-28 Francesco Benini , Sergio Benvenuti , Yuji Tachikawa

When $n$ M5 branes coincide on an A type singularity, $\mathbb{C}^2/\mathbb{Z}_k$, there is a multitude of tensionless strings which arise in the spectrum. The low energy theory when all M5 branes are separated at the singularity is given…

High Energy Physics - Theory · Physics 2018-08-15 Amihay Hanany , Gabi Zafrir