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Gauge theories compose a large class of interacting conformal field theories in 3d, among which an outstanding category is critical Chern-Simons-matter theories. In this paper, we focus on one of the simplest instances: one complex critical…

强关联电子 · 物理学 2025-08-20 Zheng Zhou , Chong Wang , Yin-Chen He

It is well known that charges coupled to a pure Chern-Simons gauge field in (2+1) dimensions undergo an effective change of statistics, i.e., become anyons. We will consider several generalizations thereof, arising when the gauge field is…

高能物理 - 理论 · 物理学 2007-05-23 Stefan Mashkevich

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

广义相对论与量子宇宙学 · 物理学 2009-11-10 M. Blagojevic , M. Vasilic

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…

高能物理 - 理论 · 物理学 2016-05-25 Roberto Zucchini

We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the…

高能物理 - 理论 · 物理学 2008-02-03 Scott Axelrod , I. M. Singer

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

高能物理 - 理论 · 物理学 2025-05-20 Mattia Serrani

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

高能物理 - 理论 · 物理学 2025-01-08 Oren Bergman , Francesco Mignosa

We introduce a class of 3d theories consisting of strongly-coupled ${\mathcal N}=4$ systems coupled to ${\mathcal N}=3$ Chern-Simons gauge multiplets, which exhibit ${\mathcal N}=4$ enhancements when a peculiar condition on the Chern-Simons…

高能物理 - 理论 · 物理学 2023-04-12 Benjamin Assel , Yuji Tachikawa , Alessandro Tomasiello

Chern-Simons modified gravity is a string-theory and loop-quantum-gravity inspired effective theory that modifies General Relativity by adding a parity-violating Pontryagin density to the Einstein-Hilbert action multiplied by a coupling…

广义相对论与量子宇宙学 · 物理学 2010-04-15 Nicolas Yunes , David N. Spergel

Three dimensional SU(2) Chern-Simons theory has been studied as a topological field theory to provide a field theoretic description of knots and links in three dimensions. A systematic method has been developed to obtain the link-invariants…

高能物理 - 理论 · 物理学 2009-10-22 R. K. Kaul , T. R. Govindarajan

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable…

高能物理 - 理论 · 物理学 2019-06-26 L. Andrianopoli , B. L. Cerchiai , P. A. Grassi , M. Trigiante

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4,…

高能物理 - 理论 · 物理学 2009-10-12 Eunkyung Koh , Sangmin Lee , Sungjay Lee

We propose a mechanism that couples matter fields to three-dimensional quantum gravity, which can be used for theories with a positive or negative cosmological constant. Our proposal is rooted in the Chern-Simons formulation of…

高能物理 - 理论 · 物理学 2023-04-07 Alejandra Castro , Ioana Coman , Jackson R. Fliss , Claire Zukowski

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…

高能物理 - 理论 · 物理学 2019-10-02 Riccardo Argurio , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

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…

高能物理 - 理论 · 物理学 2008-11-26 A. F. Ferrari , M. Gomes , A. Yu. Petrov , A. J. da Silva

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

高能物理 - 理论 · 物理学 2008-11-26 D. Dalmazi

In this PhD thesis, we investigate a wide class of three-dimensional massive gravity models and show how most of them (if not all) can be brought in a first-order, Chern-Simons-like, formulation. This allows for a general analysis of the…

高能物理 - 理论 · 物理学 2014-11-26 Wout Merbis

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

高能物理 - 理论 · 物理学 2021-02-03 Amiya Mishra

We study dualities for ${\cal N}=2$ 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a…

高能物理 - 理论 · 物理学 2015-05-30 Anton Kapustin , Hyungchul Kim , Jaemo Park

In this paper we discuss SU(N) Chern-Simons theories at level k with both fermionic and bosonic vector matter. In particular we present an exact calculation of the free energy of the N=2 supersymmetric model (with one chiral field) for all…

高能物理 - 理论 · 物理学 2015-03-20 Sachin Jain , Sandip P. Trivedi , Spenta R. Wadia , Shuichi Yokoyama