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Given a six-dimensional symplectic manifold $(M, B)$, a nondegenerate, co-closed four-form $C$ introduces a dual symplectic structure $\widetilde{B} = *C $ independent of $B$ via the Hodge duality $*$. We show that the doubling of…

High Energy Physics - Theory · Physics 2017-07-26 Hyun Seok Yang

We propose a new class of infrared dualities relating three-dimensional $\mathcal{N}=2$ $USp(2N)$ Chern--Simons SQCD to planar Abelian quiver gauge theories. These dual descriptions are constructed via real mass deformations of established…

High Energy Physics - Theory · Physics 2026-05-11 Sergio Benvenuti , Vittorio Cagioni , Simone Rota , Anant Shri

We study Coulomb branch moduli spaces of a class of three dimensional $\mathcal{N}=4$ gauge theories whose quiver satisfies the balance condition. The Coulomb branch is described by dressed monopole operators which can be counted using the…

High Energy Physics - Theory · Physics 2017-01-17 Gong Cheng , Amihay Hanany , Yabo Li , Yidi Zhao

We construct type II A brane configuration of N=(4,4) supersymmetric two dimensional gauge theory with gauge group U(1) and N_f hypermultiplets in the fundamental representation. By lifting to M-theory (strong coupling), we can see the…

High Energy Physics - Theory · Physics 2009-10-30 M. Alishahiha

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

We study supersymmetric field theories in three space-time dimensions doped by various configurations of electric charges or magnetic fluxes. These are supersymmetric avatars of impurity models. In the presence of additional sources such…

High Energy Physics - Theory · Physics 2015-06-16 Anson Hook , Shamit Kachru , Gonzalo Torroba

We derive the algebraic description of the Coulomb branch of 3d $\mathcal{N}=4$ $USp(2N)$ SQCD theories with $N_f$ fundamental hypermultiplets and determine their low energy physics in any vacuum from the local geometry of the moduli space,…

High Energy Physics - Theory · Physics 2018-08-15 Benjamin Assel , Stefano Cremonesi

Certain star shaped quivers exhibit a pattern of symmetry enhancement on the Coulomb branch of $3d$ $\mathcal{N}=4$ supersymmetric gauge theories. This paper studies a subclass of theories where such global symmetry enhancement occurs…

High Energy Physics - Theory · Physics 2017-08-01 Amihay Hanany , Alessandro Pini

We study various cases of dualities between $\cal{N}$$=1$ 5d supersymmetric gauge theories. We motivate the dualities using brane webs, and provide evidence for them by comparing the superconformal index. In many cases we find that the…

High Energy Physics - Theory · Physics 2015-06-22 Gabi Zafrir

We consider interesting Seiberg dualities for $Usp$ gauge theories with an antisymmetric, $8$ fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses,…

High Energy Physics - Theory · Physics 2019-05-01 Sergio Benvenuti

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

We review some recent results concerning gauge theories in various dimensions. In particular, we discuss RG fixed points and ``mirror'' symmetry duality in 3d N=4 supersymmetric gauge theories and a classification of non-trivial RG fixed…

High Energy Physics - Theory · Physics 2008-02-03 Kenneth Intriligator

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 show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the…

High Energy Physics - Theory · Physics 2008-02-03 Michael Bershadsky , Cumrun Vafa

We investigate the phase structures of various N=1 supersymmetric gauge theories including even the exceptional gauge group from the viewpoint of superconvergence of the gauge field propagator. Especially we analyze in detail whether a new…

High Energy Physics - Theory · Physics 2009-10-30 Motoi Tachibana

D-branes can end on orbifold planes if the action of the orbifold group includes (-1)^{F_L}. We consider configurations of D-branes ending on such orbifolds and study the low-energy theory on their worldvolume. We apply our results to gauge…

High Energy Physics - Theory · Physics 2010-02-03 Anton Kapustin

Five dimensional field theories with exceptional gauge groups are engineered from degenerations of Calabi-Yau threefolds. The structure of the Coulomb branch is analyzed in terms of relative K\"ahler cones. For low number of flavors, the…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Rami Entin

Two-dimensional N=1,2 supersymmetric chiral models and their dual extensions are introduced and canonically quantized. Working within a superspace formalism, the non-manifest invariance under 2D-superPoincare' transformations is proven. The…

High Energy Physics - Theory · Physics 2009-10-31 C. P. Constantinidis , F. P. Devecchi , F. Toppan

We study duality in $\mathcal{N}=1$ supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral…

High Energy Physics - Theory · Physics 2018-04-04 Thomas A. Ryttov , Robert Shrock

We propose three-dimensional N=6 superconformal U(N) X U(M) and SU(N) X SU(N) Chern-Simons gauge theories with two pairs of bifundamental chiral superfields in the (N, M) and (\overline{N}, \overline{M}) representations and in the (N, N)…

High Energy Physics - Theory · Physics 2008-10-14 Tianjun Li
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