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A new approach to the quantization of Chern-Simons theory has been developed in recent papers of the author. It uses a "simulation" of the moduli space of flat connections modulo the gauge group which reveals to be related to a lattice…

q-alg · Mathematics 2008-02-03 E. Buffenoir

A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Bichl , J. M. Grimstrup , V. Putz , M. Schweda

We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the…

High Energy Physics - Theory · Physics 2009-05-13 Diego Trancanelli

In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop…

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

We discuss the thermodynamics of recently constructed three-dimensional higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with generalized asymptotically-anti-de Sitter boundary conditions. From a holographic perspective,…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Juan I. Jottar

We propose a new duality between two 3d $\mathcal{N}=8$ superconformal Chern-Simons-matter theories: the $U(3)_1 \times U(3)_{-1}$ ABJM theory and a theory consisting of the product between the $\left(SU(2)_3\times…

High Energy Physics - Theory · Physics 2018-07-04 Nathan B. Agmon , Shai M. Chester , Silviu S. Pufu

We extend the Fermi gas approach to a class of ABJM-like necklace quiver theories without parity invariance. The resulting partition function on $S^3$ retains the form of an Airy function, but now includes a phase that scales as $Nk$ in the…

High Energy Physics - Theory · Physics 2024-11-26 James T. Liu , Xiuyuan Zhang

We consider the Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions, focusing on the Higgsed phase of the bosonic matter in the large N limit. To study the characteristics of the Z-boson in the Higgsed…

High Energy Physics - Theory · Physics 2025-03-03 Amiya Mishra

We propose a random matrix theory for QCD in three dimensions with a Chern-Simons term at level $k$ which spontaneously breaks the flavor symmetry according to U($2N_{\rm f}$) $\to $ U($N_{\rm f}+k$)$\times$U($N_{\rm f}-k$). This random…

High Energy Physics - Theory · Physics 2019-10-22 Takuya Kanazawa , Mario Kieburg , Jacobus J. M. Verbaarschot

We study mesons in N=4 super Yang-Mills theory with fundamental flavors added at large 't Hooft coupling using the gauge/gravity correspondence. High-spin mesons are well described by using semiclassical string configurations. We determine…

High Energy Physics - Theory · Physics 2008-11-26 K. D. Jensen , A. Karch , J. Price

We explore Chern-Simons theories coupled to fundamental ghost-like matter in the large $N$ limit at 't Hooft coupling $\lambda$. These theories have been conjectured to be holographically dual to parity-violating, asymptotically dS$_4$…

High Energy Physics - Theory · Physics 2015-06-19 Dionysios Anninos , Raghu Mahajan , Djordje Radicevic , Edgar Shaghoulian

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

Based on the realization of three-algebras in terms of algebra of matrices and four-brackets [arXiv:0807.1570] we present the notion of u(N)-based extended three-algebras, which for N=2 reproduces the Bagger-Lambert three-algebra. Using…

High Energy Physics - Theory · Physics 2009-01-22 M. M. Sheikh-Jabbari

We study the line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric Chern-Simons (CS) theories with (special)unitary, symplectic, orthogonal and exceptional gauge groups. We find that they have several beautiful infinite product…

High Energy Physics - Theory · Physics 2025-07-29 Tadashi Okazaki , Douglas J. Smith

Using the duality conjecture between N=6 supersymmetric U(N)_k \times U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong…

High Energy Physics - Theory · Physics 2009-02-16 Mohammad R. Garousi , Ahmad Ghodsi

We consider $U(N)_k$ Chern-Simons theory on $S^3$ in Seifert framing and write down the partition function as a unitary matrix model. In the large $k$ and large $N$ limit the eigenvalue density satisfies an upper bound…

High Energy Physics - Theory · Physics 2021-08-17 Kushal Chakraborty , Suvankar Dutta

Recently a duality between a family of \mathcal{N}=2 supersymmetric higher spin theories on AdS3, and the 't Hooft like limit of a class of Kazama-Suzuki models (that are parametrised by N and k) was proposed. The higher spin theories can…

High Energy Physics - Theory · Physics 2015-06-05 Constantin Candu , Matthias R. Gaberdiel

We study a three-dimensional N=3 U(N)_k x U(N)_{-k} Chern-Simons matter theory with flavour, corresponding to the N=6 Aharony-Bergman-Jafferis-Maldacena CSM theory coupled to 2N_f fundamental fields. The dual holographic description is…

High Energy Physics - Theory · Physics 2010-01-15 Stefan Hohenegger , Ingo Kirsch

It has been conjectured that fermions minimally coupled to a Chern-Simons gauge field define a conformal field theory (CFT) that is level-rank dual to Chern-Simons gauged Wilson-Fisher Bosons. The CFTs in question admit relevant…

High Energy Physics - Theory · Physics 2018-12-26 Sayantan Choudhury , Anshuman Dey , Indranil Halder , Sachin Jain , Lavneet Janagal , Shiraz Minwalla , Naveen Prabhakar

Recent experiments in graphene heterostructures have observed Chern insulators - integer and fractional Quantum Hall states made possible by a periodic substrate potential. Here we study theoretically the competition between different Chern…

Strongly Correlated Electrons · Physics 2018-07-25 Jong Yeon Lee , Chong Wang , Michael P. Zaletel , Ashvin Vishwanath , Yin-Chen He