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In this writing we shall address certain beautiful inter-relations between the construction of 4-dimensional supersymmetric gauge theories and resolution of algebraic singularities, from the perspective of String Theory. We review in some…

High Energy Physics - Theory · Physics 2009-09-29 Yang-Hui He

We construct three-dimensional N=2 Chern-Simons-quiver theories which are holographically dual to the M-theory Freund-Rubin solutions AdS_4 x V_{5,2}/Z_k (with or without torsion G-flux), where V_{5,2} is a homogeneous Sasaki-Einstein…

High Energy Physics - Theory · Physics 2009-12-15 Dario Martelli , James Sparks

We study large N dualities for a general class of N=1 theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds or as effective field theories on D4 branes in type IIA brane configurations. We completely solve…

High Energy Physics - Theory · Physics 2007-05-23 Kyungho Oh , Radu Tatar

We use localization to compute the partition function of a four dimensional, supersymmetric, abelian gauge theory on a hemisphere coupled to charged matter on the boundary. Our theory has eight real supercharges in the bulk of which four…

High Energy Physics - Theory · Physics 2020-05-20 Rajesh Kumar Gupta , Christopher P. Herzog , Imtak Jeon

We propose a top-down approach to non-invertible symmetries in 2D QFTs and their associated symmetry topological field theories. We focus on the gauge theory engineered on D1-branes probing a particular Calabi-Yau 4-fold singularity. We…

High Energy Physics - Theory · Physics 2023-12-29 Xingyang Yu

Extending previous work that involved D3-branes ending on a fivebrane with $\theta_{\mathrm{YM}}\not=0$, we consider a similar two-sided problem. This construction, in case the fivebrane is of NS type, is associated to the three-dimensional…

High Energy Physics - Theory · Physics 2015-09-30 Victor Mikhaylov , Edward Witten

We derive level-rank duality in pure Chern-Simons gauge theories from a non-supersymmetric Seiberg duality by using a non-supersymmetric brane configuration in type IIB string theory. The brane configuration consists of fivebranes, N D3…

High Energy Physics - Theory · Physics 2015-06-22 Adi Armoni , Edwin Ireson

We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an…

High Energy Physics - Theory · Physics 2019-05-22 Daniël Prins

We study the partition function of three-dimensional ${\mathcal N}=4$ superconformal Chern-Simons theories of the circular quiver type, which are natural generalizations of the ABJM theory, the worldvolume theory of M2-branes. In the ABJM…

High Energy Physics - Theory · Physics 2015-06-22 Sanefumi Moriyama , Tomoki Nosaka

We study N=1 dualities in four dimensional supersymmetric gauge theories as the worldvolume theory of D4 branes with one compact direction in type IIA string theory. We generalize the previous work for SO(N_{c1}) x Sp(N_{c2}) with the…

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

We perform a systematic analysis of the D-brane charges associated with string theory realizations of d=3 gauge theories, focusing on the examples of the N=4 supersymmetric U(N)xU(N+M) Yang-Mills theory and the N=3 supersymmetric…

High Energy Physics - Theory · Physics 2010-12-15 Ofer Aharony , Akikazu Hashimoto , Shinji Hirano , Peter Ouyang

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

This dissertation presents a study of dualities and generalized global symmetries in quantum field theories (QFTs) from the string theory perspective. Chapter 2 is based on the work arXiv:2110.03696 with Sebasti\'{a}n Franco, Alessandro…

High Energy Physics - Theory · Physics 2023-06-23 Xingyang Yu

We study a three-dimensional U(k) Yang-Mills Chern-Simons theory with adjoint matter preserving two supersymmetries. According to Acharya and Vafa, this theory describes the low-energy worldvolume dynamics of BPS domain walls in…

High Energy Physics - Theory · Physics 2015-05-13 Adi Armoni , Amit Giveon , Dan Israel , Vasilis Niarchos

We systematically study 3d $\mathcal{N}=2$ dualities for $U(N_c)$ gauge theories with different CS levels for the abelian and the non-abelian factors. We derive such dualities by a gauging/ungauging procedure on other known dualities and by…

High Energy Physics - Theory · Physics 2022-03-14 Antonio Amariti , Simone Rota

This is the 10th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It reviews correspondences between three-dimensional gauge theories and complex Chern-Simons theory on suitable…

High Energy Physics - Theory · Physics 2014-12-23 Tudor Dimofte

We use 3d bosonization dualities to derive new non-supersymmetric dualities between bosonic quiver theories in $2+1$ dimensions. It is shown that such dualities are a natural non-Abelian generalization of the bosonic particle-vortex…

High Energy Physics - Theory · Physics 2018-09-26 Kyle Aitken , Andrew Baumgartner , Andreas Karch

We propose an equivalence of the partition functions of two different 3d gauge theories. On one side of the correspondence we consider the partition function of 3d SL(2,R) Chern-Simons theory on a 3-manifold, obtained as a punctured Riemann…

High Energy Physics - Theory · Physics 2011-09-05 Yuji Terashima , Masahito Yamazaki

We present non-trivial checks of three dimensional mirror symmetry for $\mathcal{N}=4$, $\hat{D}_N$ quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these…

High Energy Physics - Theory · Physics 2014-01-28 Anindya Dey

We construct intersecting D-brane configurations that encode the gauge groups and field content of dual N=4 supersymmetric gauge theories in three dimensions. The duality which exchanges the Coulomb and Higgs branches and the…

High Energy Physics - Theory · Physics 2009-09-17 Jan de Boer , Kentaro Hori , Hirosi Ooguri , Yaron Oz , Zheng Yin