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We study N=1 four dimensional gauge theories as the world volume theory of D4-branes between NS 5-branes. We find constructions for a number of known field theory dualities involving $SU(N_c)\times SU(N_c')$ groups, coupled by matter fields…

High Energy Physics - Theory · Physics 2009-10-30 John H. Brodie , Amihay Hanany

Recently, a large class of 3d $\mathcal{N} = 2$ gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral…

High Energy Physics - Theory · Physics 2023-08-25 Shi Cheng , Piotr Sułkowski

The gauge transformations of p-form fields in supergravity theories acquire a non-commuting character when one introduces potentials both for the theory's original field strengths and for their duals. This has previously been shown in the…

High Energy Physics - Theory · Physics 2009-10-07 I. V. Lavrinenko , H. Lu , C. N. Pope , K. S. Stelle

We compute the partition function on the hemisphere of a class of two-dimensional (2,2) supersymmetric field theories including gauged linear sigma models. The result provides a general exact formula for the central charge of the D-brane…

High Energy Physics - Theory · Physics 2013-08-13 Kentaro Hori , Mauricio Romo

We investigate an N=4 U(N)_k x U(N+M)_{-k} Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2N+M dimensional integration via localization. Surprisingly, by performing the…

High Energy Physics - Theory · Physics 2018-02-14 Tomoki Nosaka , Shuichi Yokoyama

We add fundamental flavors to N=2 Chern-Simons-matter theories living on M2 branes probing a Calabi-Yau four-fold singularity. This is dual, in the 't Hooft limit described by IIA string theory, to the introduction of supersymmetric D6…

High Energy Physics - Theory · Physics 2010-01-28 Daniel Louis Jafferis

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a U(1) x U(1)-invariant squashed three-sphere, with a non-trivial background gauge field. This is described by a supersymmetric solution of…

High Energy Physics - Theory · Physics 2015-06-03 Dario Martelli , Achilleas Passias , James Sparks

We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of…

High Energy Physics - Theory · Physics 2025-12-12 Tadashi Okazaki , Douglas J. Smith

In this work, we revisit the exact computation of the round sphere partition function of 3d $\mathcal{N}=4$ circular quiver Chern-Simons theories with mass and Fayet-Iliopoulos (FI) deformations. Utilizing the Fermi gas formalism, we derive…

High Energy Physics - Theory · Physics 2025-09-03 Naotaka Kubo , Tomoki Nosaka , Yi Pang

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well…

High Energy Physics - Theory · Physics 2011-08-23 Tudor Dimofte , Davide Gaiotto , Sergei Gukov

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

High Energy Physics - Theory · Physics 2025-01-08 Oren Bergman , Francesco Mignosa

Some gauge theories with Coulomb branches exhibit singularities in perturbation theory, which are usually resolved by nonperturbative physics. In string theory this corresponds to the resolution of timelike singularities near the core of…

High Energy Physics - Theory · Physics 2013-08-28 Fabio Saracco , Alessandro Tomasiello , Gonzalo Torroba

We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories. They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories…

High Energy Physics - Theory · Physics 2009-12-04 Daniel Louis Jafferis , Alessandro Tomasiello

We propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a…

High Energy Physics - Theory · Physics 2010-12-03 F. Cachazo , K. Intriligator , C. Vafa

Extending recent work on SU gauge theory, we engineer local string models for N=1 four-dimensional SO and USp gauge theories coupled to matter in the fundamental. The local models are type IIB orientifolds with D7 branes on a curved…

High Energy Physics - Theory · Physics 2016-09-06 Cumrun Vafa , Barton Zwiebach

We study two well-known classes of dualities in three dimensional N=2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have…

High Energy Physics - Theory · Physics 2015-06-17 A. Amariti

We try to give a geometric construction for 3d $\mathcal{N}=2$ gauge theories using three-manifolds and Dehn surgeries. We follow the story that wrapping M5-branes on plumbing three-manifolds leads to 3d theories with mixed Chern-Simons…

High Energy Physics - Theory · Physics 2024-08-09 Shi Cheng

A magnetic quiver framework is proposed for studying maximal branches of 3d orthosymplectic Chern--Simons matter theories with $\mathcal{N} \geq 3$ supersymmetry, arising from Type IIB brane setups with O3 planes. These branches are…

High Energy Physics - Theory · Physics 2026-05-20 Fabio Marino , Sinan Moura Soysüren , Marcus Sperling

We study pairs of 4d N=1 supersymmetric gauge theories that share the same vacuum moduli space and the same chiral field content, encoded by a common quiver, but differ in their superpotentials. These theories arise as worldvolume theories…

High Energy Physics - Theory · Physics 2026-01-30 Minsung Kho , Seong-Jin Lee , Rak-Kyeong Seong

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