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In perturbative SU(N) Chern-Simons gauge theory, it is shown that the Schwinger-Dyson equations assume a quite simplified form. The generating functional of the correlation functions of the curvature is considered; it is demonstrated that…

High Energy Physics - Theory · Physics 2016-12-21 Enore Guadagnini

Based on recent discussions on the so-called unconventional supersymmetry, we analyze a class of solutions of a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino fields. With a Randall-Sundrum-type ansatz, we exploit the…

High Energy Physics - Theory · Physics 2018-04-17 Y. M. P. Gomes

We report the results of an extensive numerical study of the $Sp(4)$ lattice gauge theory with three (Dirac) flavors of fermion in the two-index antisymmetric representation. In the presence of (degenerate) fermion masses, the theory has an…

High Energy Physics - Lattice · Physics 2025-03-05 Ed Bennett , Deog Ki Hong , Ho Hsiao , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We show that matrix models in Chern-Simons theory admit an interpretation as 1D exactly solvable models, paralleling the relationship between the Gaussian matrix model and the Calogero model. We compute the corresponding Hamiltonians,…

High Energy Physics - Theory · Physics 2010-01-06 Miguel Tierz

We generalize the Giveon-Kutasov duality for the 3d $\mathcal{N}=3$ $U(N)_{k,k+nN}$ Chern-Simons matter gauge theory with $F$ fundamental hypermultiplets by introducing $SU(N)$ and $U(1)$ Chern-Simons levels differently. We study the…

High Energy Physics - Theory · Physics 2022-05-11 Naotaka Kubo , Keita Nii

The singlet sector of vector, large $N$, 3d field theory corresponds to Vasiliev higher spin theory on $AdS_4$. Will discuss three dimensional $U(N)$ symmetric field theory with fermion and boson matter coupled to a topological Chern-Simons…

High Energy Physics - Theory · Physics 2019-10-15 Moshe Moshe

While the phase structure of the $U(1)\times U(1)$-symmetric Higgs theory is still under debate, a version of this theory with an additional Chern-Simons term was recently shown to undergo a second-order phase transition [V. Shyta, J. van…

High Energy Physics - Theory · Physics 2022-03-31 Vira Shyta , Flavio S. Nogueira , Jeroen van den Brink

We consider the most general, classically-conformal, three-dimensional $\mathcal{N}=1$ Chern-Simons-matter theory with global symmetry $Sp(2)$ and gauge group $U(N)\times U(N)$. We show that the Lagrangian in the on-shell formulation of the…

High Energy Physics - Theory · Physics 2016-09-21 Dimitrios Tsimpis , Yaodong Zhu

Extension of the Standard Model with Chern-Simons type interaction contains a new vector massive boson (Chern-Simons boson) that couples to electroweak gauge bosons by the so-called effective Chern-Simons interaction. There is no direct…

High Energy Physics - Phenomenology · Physics 2024-12-30 V. Gorkavenko , I. Hrynchak , O. Khasai , M. Tsarenkova

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector…

High Energy Physics - Theory · Physics 2017-09-13 Ergin Sezgin , Evgeny D. Skvortsov , Yaodong Zhu

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

The general theory of a massless fermion coupled to a massive vector meson in two dimensions is formulated and solved to obtain the complete set of Green's functions. Both vector and axial vector couplings are included. In addition to the…

High Energy Physics - Theory · Physics 2009-10-28 C. R. Hagen

We study the low energy effective theory for a non-Fermi liquid state in 2+1 dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with N flavors of fermion in the large N limit. In the low energy limit,…

Strongly Correlated Electrons · Physics 2009-10-01 Sung-Sik Lee

We propose a new approach to solve conformal field theories and apply it to Chern-Simons Matter theories and three-dimensional bosonization duality. All three-point correlation functions of single-trace operators are obtained in the…

High Energy Physics - Theory · Physics 2022-07-14 Evgeny D. Skvortsov

A single-sided boundary is introduced in the three-dimensional Chern-Simons model. It is shown that only one boundary condition for the gauge fields is possible, which plays the twofold role of chirality condition and bosonization rule for…

High Energy Physics - Theory · Physics 2018-01-15 Nicola Maggiore

The fermion propagators in the fivebrane background of type II superstring theories are calculated. The propagator can be obtained by explicitly evaluating the transition amplitude between two specific NS-R boundary states by the propagator…

High Energy Physics - Theory · Physics 2009-11-10 Noriaki Kitazawa

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Banados

In this paper we study in detail the equivalence of the recently introduced Born-Infeld self dual model to the Abelian Born-Infeld-Chern-Simons model in 2+1 dimensions. We first apply the improved Batalin, Fradkin and Tyutin scheme, to…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , Avinash Khare , M. Sivakumar , Prasanta K. Tripathy

Two-dimensional quantum antiferromagnets host rich physics, including long-range ordering, high-$T_c$ superconductivity, quantum spin liquid behavior, topological ordering, a variety of other exotic phases, and quantum criticalities.…

Strongly Correlated Electrons · Physics 2022-02-15 Rui Wang , Baigeng Wang , Tigran A. Sedrakyan

The partition function on the three-sphere of N=3 Chern-Simons-matter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N=2 supersymmetry, the partition function corresponds to a gas of…

High Energy Physics - Theory · Physics 2015-06-05 Marcos Marino , Pavel Putrov