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Related papers: Chern-Simons-Matter Theory and Mirror Symmetry

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In this paper we study the spectrum of BPS operators/states in N=2 superconformal U(N) Chern-Simons-matter theories with adjoint chiral matter fields, with and without superpotential. The superconformal indices and conjectures on the full…

High Energy Physics - Theory · Physics 2015-05-27 Shiraz Minwalla , Prithvi Narayan , Tarun Sharma , V. Umesh , Xi Yin

We consider dimensional reduction of gauge theories with arbitrary gauge group in a formalism based on equivariant principal bundles. For the classical gauge groups we clarify the relations between equivariant principal bundles and quiver…

High Energy Physics - Theory · Physics 2015-06-19 Richard J. Szabo , Omar Valdivia

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an ADE quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled…

High Energy Physics - Theory · Physics 2009-11-07 C. Albertsson , B. Brinne , U. Lindstrom , M. Rocek , R. von Unge

We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin…

High Energy Physics - Theory · Physics 2019-02-06 Tatsuo Azeyanagi , Stéphane Detournay , Max Riegler

We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model can be formulated in a way that in many respects closely…

High Energy Physics - Theory · Physics 2021-06-30 Roberto Zucchini

We present and study a model of 4-dimensional higher Chern-Simons theory, special Chern-Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2-algebra…

High Energy Physics - Theory · Physics 2016-05-25 Roberto Zucchini

Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of SU gauge groups with arbitrary number of…

High Energy Physics - Theory · Physics 2008-11-26 S. Katz , P. Mayr , C. Vafa

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

We establish a connection between three-dimensional self-mirror symmetric $\mathcal N=4$ superconformal field theories (SCFTs) and time-reversal invariant topological quantum field theories (TQFTs) arising from universal mass deformations.…

High Energy Physics - Theory · Physics 2025-01-03 Hongliang Jiang

In this note, we answer the questions "What does Chern-Simons theory assign to a point?" and "What kind of mathematical object does Chern-Simons theory assign to a point?". Our answer to the first question is representations of the based…

Mathematical Physics · Physics 2017-06-29 Andre Henriques

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

We study the partition function of the N=6 supersymmetric U(N_1)_k x U(N_2)_{-k} Chern-Simons-matter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N_1) x U(N_2) lens space…

High Energy Physics - Theory · Physics 2013-05-06 Hidetoshi Awata , Shinji Hirano , Masaki Shigemori

We prove the Chern-Gauss-Bonnet Theorem using sigma models whose source supermanifolds have super dimension 0|2. Along the way we develop machinery for understanding manifold invariants encoded by families of 0|n-dimensional Euclidean field…

Algebraic Topology · Mathematics 2013-10-22 Daniel Berwick-Evans

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how…

High Energy Physics - Theory · Physics 2007-05-23 Sharmanthie Fernando , Freydoon Mansouri

Non-abelian Chern-Simons theories coupled to fermions are known to provide an interesting class of non-supersymmetric conformal fixed points \cite{Giombi:2011kc}. These theories, particularly those based on bifundamental matter, are…

High Energy Physics - Theory · Physics 2017-10-30 V. Gurucharan , Shiroman Prakash

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. This paper is the first in a series where we…

High Energy Physics - Theory · Physics 2018-11-26 N. Aghaei , A. M. Gainutdinov , M. Pawelkiewicz , V. Schomerus

We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on…

High Energy Physics - Theory · Physics 2019-10-31 Clay Cordova , Po-Shen Hsin , Kantaro Ohmori

We use superalgebras to realize the 3-algebras used to construct N=6, 8 Chern-Simons-matter (CSM) theories. We demonstrate that the superalgebra realization of the 3-algebras provides a unified framework for classifying the gauge groups of…

High Energy Physics - Theory · Physics 2012-03-30 Fa-Min Chen

We study Abelian Chern-Simons field theories with matter fields and global SU(N) symmetry in the presence of random weak quenched disorder. In the absence of disorder these theories possess N=2 supersymmetric fixed points and N=1…

High Energy Physics - Theory · Physics 2016-09-06 H. Hamidian

We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an…

High Energy Physics - Theory · Physics 2015-06-26 M. Leblanc , G. Lozano , H. Min