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A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

High Energy Physics - Theory · Physics 2007-05-23 Noureddine Mohammedi

We study N=1 dualities in four dimensional supersymmetric gauge theories by D 6-branes wrapping around 3-cycles of Calabi-Yau threefolds in the type IIA string theory. We consider the models involving $SU(N_{c1})\times SU(N_{c2})$ product…

High Energy Physics - Theory · Physics 2009-10-30 Changhyun Ahn , Radu Tatar

We study $N = 2$ 3-d theories with two adjoints and fundamental flavors along with D-type superpotential. For superpotential $W_{D_{n+2}} = \mathrm{Tr} \left(X^{n+1}+X Y^2\right)$ with $n$ odd, we propose the 3d dualities, which we motivate…

High Energy Physics - Theory · Physics 2018-12-05 Chiung Hwang , Hyungchul Kim , Jaemo Park

Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic…

High Energy Physics - Theory · Physics 2013-09-11 Fang Chen , Keshav Dasgupta , Joshua M. Lapan , Jihye Seo , Radu Tatar

We provide vector-like gauge theories which break supersymmetry dynamically.

High Energy Physics - Theory · Physics 2009-10-30 K. -I. Izawa , T. Yanagida

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

High Energy Physics - Theory · Physics 2012-04-24 Mariana Graña , Diego Marques

In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 $\mathcal{N}=2$ SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 $\mathcal{N}=2$…

High Energy Physics - Theory · Physics 2017-09-07 Philip C. Argyres , Mario Martone

We study macroscopically two dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product $\mathbb{T}^{d} \times \mathbb{R}^{2}_{\epsilon}$ of a…

High Energy Physics - Theory · Physics 2013-12-25 Nikita Nekrasov , Vasily Pestun , Samson Shatashvili

We study dualities for ${\cal N}=2$ 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a…

High Energy Physics - Theory · Physics 2015-05-30 Anton Kapustin , Hyungchul Kim , Jaemo Park

In this paper we compute the superconformal index of 2d (2,2) supersymmetric gauge theories. The 2d superconformal index, a.k.a. flavored elliptic genus, is computed by a unitary matrix integral much like the matrix integral that computes…

High Energy Physics - Theory · Physics 2015-06-15 Abhijit Gadde , Sergei Gukov

We give a Seiberg-like dual description of the interacting superconformal infrared fixed point of $\mathcal{N}=4$ gauge theory in three dimensions with vanishing Chern Simons level and $N_c\le N_f<2N_c$ fundamental flavors. These theories…

High Energy Physics - Theory · Physics 2015-06-15 Itamar Yaakov

We use localization techniques to study duality in N = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg…

High Energy Physics - Theory · Physics 2021-01-13 Brian Willett , Itamar Yaakov

New S-dualities in a scale invariant N=2 gauge theory with SU(2) x SU(2) gauge group are derived from embeddings of the theory in two different larger asymptotically free theories. The true coupling space of the scale invariant theory is a…

High Energy Physics - Theory · Physics 2009-10-31 Philip C. Argyres , Alex Buchel

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

Superconformal indices of 4d \N=1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for N_f=N and N_f=N+1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular…

High Energy Physics - Theory · Physics 2015-06-18 V. P. Spiridonov , G. S. Vartanov

We study duality-twisted dimensional reductions on a group manifold G, where the twist is in a group \tilde{G} and examine the conditions for consistency. We find that if the duality twist is introduced through a group element \tilde{g} in…

High Energy Physics - Theory · Physics 2009-11-11 Aybike Catal-Ozer

Quiver theories constitute an important class of supersymmetric gauge theories with well-defined holographic duals. Motivated by holographic duality, we use localisation on $S^d$ to study long linear quivers at large-N. The large-N solution…

High Energy Physics - Theory · Physics 2024-12-12 Carlos Nunez , Leonardo Santilli , Konstantin Zarembo

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a…

High Energy Physics - Theory · Physics 2009-11-07 Sebastian Franco , Amihay Hanany

We explore two classes of 6d $\mathcal{N}=(1,0)$ little string theories obtained from type IIA/IIB NS5-branes probing $D_n$ singularities. Their tensor branches are described by effective gauge theories whose instanton solitons are…

High Energy Physics - Theory · Physics 2017-10-13 Joonho Kim , Kimyeong Lee