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Motivated by developments in vectorlike holography, we study SU(N) Chern-Simons theory coupled to matter fields in the fundamental representation on various spatial manifolds. On the spatial torus T^2, we find light states at small `t Hooft…

High Energy Physics - Theory · Physics 2017-02-21 Shamik Banerjee , Simeon Hellerman , Jonathan Maltz , Stephen H. Shenker

We study the thermodynamics of the relativistic Quantum Field Theory of massive fermions in three space-time dimensions coupled to an Abelian Maxwell-Chern-Simons gauge field. We evaluate the specific heat at finite temperature and density…

High Energy Physics - Theory · Physics 2014-11-18 N. Bralic , D. Cabra , F. A. Schaposnik

We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is…

High Energy Physics - Theory · Physics 2009-04-24 Yu Nakayama , Makoto Sakaguchi , Kentaroh Yoshida

We compute the large N limit of the localized three dimensional free energy of various field theories with known proposed AdS duals. We show that vector-like theories agree with the expected supergravity results, and with the conjectured…

High Energy Physics - Theory · Physics 2015-06-03 Antonio Amariti , Claudius Klare , Massimo Siani

We study three dimensional O(N)_k and U(N)_k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet sector of the O(N) (U(N)) vector model, which is…

High Energy Physics - Theory · Physics 2015-05-30 Ofer Aharony , Guy Gur-Ari , Ran Yacoby

We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge…

High Energy Physics - Theory · Physics 2018-05-02 Clay Cordova , Po-Shen Hsin , Nathan Seiberg

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

High Energy Physics - Theory · Physics 2019-10-15 Moshe Moshe , Jean Zinn-Justin

The parity-violating topological term in the effective action for 2+1 massive fermions is computed at finite temperature in the presence of a constant background field strength tensor. Gauge invariance of the finite-temperature effective…

High Energy Physics - Theory · Physics 2009-10-30 R. Gonzalez Felipe

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase…

High Energy Physics - Theory · Physics 2019-10-02 Riccardo Argurio , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a…

High Energy Physics - Theory · Physics 2015-06-18 Alejandro Barranco , Jorge G. Russo

We present a conjecture for the crossing symmetry rules for Chern-Simons gauge theories interacting with massive matter in $2+1$ dimensions. Our crossing rules are given in terms of the expectation values of particular tangles of Wilson…

High Energy Physics - Theory · Physics 2023-09-28 Umang Mehta , Shiraz Minwalla , Chintan Patel , Shiroman Prakash , Kartik Sharma

We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in…

High Energy Physics - Theory · Physics 2014-02-05 Georgios Giasemidis , Richard J. Szabo , Miguel Tierz

We investigate the strong coupling limit of a family of Chern-Simons-matter theories in the planar limit. The family consists of ${\cal N}=3$ theories with the gauge group ${\rm U}(N_1)_{k_1}\times{\rm U}(N_2)_{k_2}$ coupled to $n$…

High Energy Physics - Theory · Physics 2018-03-14 Takao Suyama

Most of the computational evidence for the Bose$\unicode{x2013}$Fermi duality of fundamental fields coupled to $U(N)$ Chern$\unicode{x2013}$Simons theories originates in large-$N$ calculations performed in the light-cone gauge. This gauge…

High Energy Physics - Theory · Physics 2025-12-01 Shiraz Minwalla , Souparna Nath , Nikhil Tanwar , Vatsal

We address the modification of open heavy-flavor mesons in a hot medium of light mesons within an effective theory approach consistent with chiral and heavy-quark spin-flavor symmetries and the use of the imaginary time formalism to…

High Energy Physics - Phenomenology · Physics 2022-02-16 Gloria Montana , Angels Ramos , Laura Tolos , Juan M. Torres-Rincon

The $\mathrm{U}(1)$ Chern-Simons theory can be extended to a topological $\mathrm{U}(1)^n$ theory by taking a combination of Chern-Simons and BF actions, the mixing being achieved with the help of a collection of integer coupling constants.…

Mathematical Physics · Physics 2025-07-09 Han-Miru Kim , Philippe Mathieu , Michail Tagaris , Frank Thuillier

We provide evidences for the duality between ${\cal N}=6$ $U(M)_{4} \times U(N)_{-4}$ Chern-Simons matter theory and ${\cal N}=5$ $O(\hat{M})_{2} \times USp(2\hat{N})_{-1}$ theory for a suitable $\hat{M},\hat{N}$ by working out the…

High Energy Physics - Theory · Physics 2015-06-11 Sangmo Cheon , Dongmin Gang , Chiung Hwang , Satoshi Nagaoka , Jaemo Park

We investigate the $S^3$ free energy of $\mathcal N=3$ Chern-Simons-matter quiver gauge theories with gauge group $U(N)^r~(r\geq2)$ where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-$N$ expansion.…

High Energy Physics - Theory · Physics 2021-12-17 Junho Hong , James T. Liu

We investigate a relation between zeros of the partition function and supersymmetry breaking, conjectured by Morita and Niarchos, for a family of Chern-Simons-matter theories. We analyze the analytic structure of the free energy in the…

High Energy Physics - Theory · Physics 2014-05-30 Takao Suyama

We consider supersymmetric gauge theories on $S^5$ with a negative Yang-Mills coupling in their large $N$ limits. Using localization we compute the partition functions and show that the pure ${\mathrm{SU}}(N)$ gauge theory descends to an…

High Energy Physics - Theory · Physics 2021-03-17 Joseph A. Minahan , Anton Nedelin