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We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including…

High Energy Physics - Theory · Physics 2016-10-12 Po-Shen Hsin , Nathan Seiberg

We study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS_5xL^{abc} background of type IIB string theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the…

High Energy Physics - Theory · Physics 2009-11-11 Felipe Canoura , Jose D. Edelstein , Alfonso V. Ramallo

We consider N = 3 supersymmetric Chern-Simons gauge theories with product unitary and orthosymplectic groups and bifundamental and fundamental fields. We study the partition functions on an S^3 by using the Kapustin-Willett-Yaakov matrix…

High Energy Physics - Theory · Physics 2015-06-04 Daniel R. Gulotta , Christopher P. Herzog , Tatsuma Nishioka

We study the variations of the worldvolume fields in the non-Abelian action for multiple D-branes. Using T-duality we find that the embedding scalars transform non-trivially under NS-NS gauge transformations as \delta X ~ [X, X] and prove…

High Energy Physics - Theory · Physics 2009-11-11 Joke Adam , Ignacio A. Illan , Bert Janssen

We derive 4-dimensional N=4 U(N) supersymmetric Yang-Mills theory from a 3-dimensional Chern-Simons-matter theory with product gauge group U(N)^{2n}. The latter describes M2-branes probing an orbifold where a torus emerges in a scaling…

High Energy Physics - Theory · Physics 2009-04-17 Koji Hashimoto , Ta-Sheng Tai , Seiji Terashima

Based on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$), two tachyons and one scalar field, we find out new couplings in brane anti brane effective…

High Energy Physics - Theory · Physics 2013-09-10 Ehsan Hatefi

A method to obtain explicit and complete topological solution of SU(2) Chern-Simons theory on $S^3$ is developed. To this effect the necessary aspects of the theory of coloured-oriented braids and duality properties of conformal blocks for…

High Energy Physics - Theory · Physics 2009-10-22 R. K. Kaul

It has been speculated that the metric, $B$-field and dilaton couplings in the low energy effective action of string theory at any order of $\alpha'$ may be found by imposing the gauge symmetries and the T-duality on the effective action.…

High Energy Physics - Theory · Physics 2020-10-28 Mohammad R. Garousi

We analyse the symmetries of a class of A-type little string theories that are engineered by $N$ parallel M5-branes with M2-branes stretched between them. This paper deals with the so-called reduced free energy, which only receives…

High Energy Physics - Theory · Physics 2019-11-19 Brice Bastian , Stefan Hohenegger

We present an elegant method to prove the invariance of the Chern-Simons part of the non-Abelian action for N coinciding D-branes under the R-R and NS-NS gauge transformations, by carefully defining what is meant by a background gauge…

High Energy Physics - Theory · Physics 2007-05-23 Joke Adam , Jos Gheerardyn , Bert Janssen , Yolanda Lozano

We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch

We study the N=2 supersymmetric Chern-Simons quiver gauge theory recently introduced in arXiv:0809.3237 to describe M2-branes on a cone over the well-known Sasaki-Einstein manifold Q^{1,1,1}. For Chern-Simons levels (k,k,-k,-k) we argue…

High Energy Physics - Theory · Physics 2009-08-12 Sebastian Franco , Igor R. Klebanov , Diego Rodriguez-Gomez

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be…

High Energy Physics - Theory · Physics 2011-05-05 Davide Gaiotto , Xi Yin

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

Monopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on $\mathbb{R}\times S^2$ with background magnetic flux on $S^2$. Gauge invariance requires a dressing with…

High Energy Physics - Theory · Physics 2019-03-12 Benjamin Assel

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for $\mathcal{N}\ge 4$…

High Energy Physics - Theory · Physics 2025-09-25 Hirotaka Hayashi , Tomoki Nosaka , Tadashi Okazaki

Large N duality conjecture between U(N) Chern-Simons gauge theory on $S^3$ and A-model topological string theory on the resolved conifold was verified at the level of partition function and Wilson loop observables. As a consequence, the…

High Energy Physics - Theory · Physics 2009-11-11 Pravina Borhade , P. Ramadevi

We examine magnetic and electric near horizon regions of maximally supersymmetric D-brane and NS5-brane bound states and find transformations between near horizon regions with worldvolume dual magnetic and electric fluxes. These point to…

High Energy Physics - Theory · Physics 2010-05-28 H. Larsson , P. Sundell

We study the correspondence between the moduli space of vacua of three-dimensional supersymmetric Yang-Mills (Maxwell) Chern-Simons theories and brane configurations with (p,q)5-brane. For Coulomb branches, the number of the massless…

High Energy Physics - Theory · Physics 2011-07-19 Kazutoshi Ohta

We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find…

High Energy Physics - Theory · Physics 2009-11-07 Romuald A. Janik
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