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We study the holographic dual of flavors in a Chern-Simons matter theory at non-zero temperature, realized as D6-branes in the type IIA black hole dual in the ABJM background geometry. We consider both massive and massless flavors. The…

High Energy Physics - Theory · Physics 2015-06-12 Niko Jokela , Javier Mas , Alfonso V. Ramallo , Dimitrios Zoakos

$SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg…

High Energy Physics - Theory · Physics 2014-11-18 John M. Cornwall

We discuss monopole operators in $U(N_c)$ Chern-Simons-matter theories in three space-time dimensions. We mention an apparent problem in the matching of such operators in dualities between non-supersymmetric theories, and suggest a possible…

High Energy Physics - Theory · Physics 2015-03-10 Ofer Aharony , Prithvi Narayan , Tarun Sharma

We present the first successful large-$N$ computation of the $S^3$ free energy in chiral $\mathcal{N}=2$ Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling $F_{S^3}\!\sim\!N^{3/2}$. Using a stable numerical…

High Energy Physics - Theory · Physics 2026-03-03 Seyed Morteza Hosseini

Motivated by some previously known facts from mathematical and physics literature, we explore certain relations between 3-dimensional topological gauge theories with continuous and finite gauge groups, commonly known as Chern-Simons (CS)…

High Energy Physics - Theory · Physics 2025-12-15 Thomas Nicosanti , Pavel Putrov , Johann Quenta-Raygada

In this paper we study non-commutative massive unquenched Chern-Simons matter theory using its gravity dual. We construct this novel background by applying a TsT-transformation on the known parent commutative solution. We discuss several…

High Energy Physics - Theory · Physics 2018-06-13 Yago Bea , Niko Jokela , Arttu Pönni , Alfonso V. Ramallo

We use the AdS/CFT correspondence to study the thermodynamics of massive N=2 supersymmetric hypermultiplets coupled to N=4 supersymmetric SU(Nc) Yang-Mills theory in the limits of large Nc and large 't Hooft coupling. In particular, we…

High Energy Physics - Theory · Physics 2009-11-18 Andreas Karch , Andy O'Bannon

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are…

High Energy Physics - Theory · Physics 2009-10-28 S. H. Park

In this paper, we generalize the arithmetic Chern-Simons theory to regular flat separated schemes of finite type over rings of integers of number fields by applying the duality theorems for arithmetic schemes.

Number Theory · Mathematics 2019-11-22 Jungin Lee

We report preliminary results on the recently proposed F-maximization principle in 3D SCFTs. We compute numerically in the large-N limit the free energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single adjoint chiral…

High Energy Physics - Theory · Physics 2011-09-21 Vasilis Niarchos

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

Using an explicit path integral approach we derive non-abelian bosonization and duality of 3D systems in the large $N$ limit. We first consider a fermionic $U(N)$ vector model coupled to level $k$ Chern-Simons theory, following standard…

High Energy Physics - Theory · Physics 2016-05-23 Nouman Muteeb , Leopoldo A. Pando Zayas , Fernando Quevedo

Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N. In this paper, we compute the scaling dimensions of…

High Energy Physics - Theory · Physics 2017-09-21 S. Giombi , V. Gurucharan , V. Kirilin , S. Prakash , E. Skvortsov

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D $\mathcal{N}{=}2$ supersymmetric Chern-Simons-matter theories (with an $R$-symmetry) on half-BPS closed three-manifolds---including $S^3$, $S^2…

High Energy Physics - Theory · Physics 2019-09-04 Cyril Closset , Heeyeon Kim

We study the temperature dependence of the Chern-Simons number fluctuations in the SU(2) Higgs Model on Euclidean lattices with spatial sizes up to 20^3. Temperatures well above the Higgs phase transition $T_H$ are achieved on anisotropic…

High Energy Physics - Lattice · Physics 2008-12-18 F. Karsch , M. L. Laursen , T. Neuhaus , B. Plache

We study the Wilson line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric $SU(N)$ Chern-Simons theories of level $k\le -N$ with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d…

High Energy Physics - Theory · Physics 2024-06-07 Tadashi Okazaki , Douglas J. Smith

We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to $N_f$ fermions in the limit of large $N_f$ using conformal truncation, i.e. with a truncated space of states corresponding to primary operators…

High Energy Physics - Theory · Physics 2019-05-01 Luca V. Delacrétaz , A. Liam Fitzpatrick , Emanuel Katz , Lorenzo Vitale

We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the ${\cal N}=2$ supersymmetric field theory where non-Abelian gauge fields are governed by the pure Chern--Simons dynamics at dual levels and…

Analysis of PDEs · Mathematics 2021-01-28 Xiaosen Han , Chang-Shou Lin , Gabriella Tarantello , Yisong Yang

We formulate the high temperature expansion in supersymmetric matrix quantum mechanics with 4, 8 and 16 supercharges. The models can be obtained by dimensionally reducing N=1 U(N) super Yang-Mills theory in D=4,6,10 to 1 dimension,…

High Energy Physics - Theory · Physics 2009-05-20 Naoyuki Kawahara , Jun Nishimura , Shingo Takeuchi

The Chern-Simons approach has been widely used to explain fractional quantum Hall states in the framework of trial wave functions. In the present paper, we generalise the concept of Chern-Simons transformations to systems with any number of…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 W. Beugeling , M. O. Goerbig , C. Morais Smith