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It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-22 S. Carlip , C. Teitelboim

We construct the standard and dual supertranslation charges on the future horizon of the Schwarzschild black hole, using the first-order formulation of gravity with the Holst action. The Dirac bracket algebra of standard and dual…

High Energy Physics - Theory · Physics 2023-05-10 Ratindranath Akhoury , Sangmin Choi , Malcolm J. Perry

The membrane paradigm of black hole is studied in the Chern-Simons modified gravity. Derived with the action principle a la Parikh-Wilczek, the stress tensor of membrane manifests a rich structure arising from the Chern-Simons term. The…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Tian-Yi Zhao , Towe Wang

We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS…

High Energy Physics - Theory · Physics 2015-06-15 Loriano Bonora , Maro Cvitan , Predrag Dominis Prester , Silvio Pallua , Ivica Smolic

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline

We study classical solutions of three dimensional higher spin gravity in the Chern-Simons formulation. We find solutions that generalize the BTZ black hole and carry spin-3 charge. The black hole entropy formula yields a result for the…

High Energy Physics - Theory · Physics 2015-05-27 Michael Gutperle , Per Kraus

I consider the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational Chern-Simons terms, and its statistical entropy. I propose a new thermodynamical entropy, which being {\it non-negative}…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

The study of BTZ blackhole physics and the cosmological horizon of 3D de Sitter spaces are carried out in unified way using the connections to the Chern Simons theory on three manifolds with boundary. The relations to CFT on the boundary is…

High Energy Physics - Theory · Physics 2009-11-10 T R Govindarajan

Various applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of Chern-Simons actions in the theory of the…

Mathematical Physics · Physics 2026-03-27 Jürg Fröhlich

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all…

High Energy Physics - Theory · Physics 2009-10-31 Sharmanthie Fernando , Freydoon Mansouri

This paper deals with the problem of defining off-shell conserved charges in a set of theories known as Chern-Simons-like theories of gravity (CSLTG). The method is derived in a general way, which may find applications in a wide set of…

High Energy Physics - Theory · Physics 2017-11-22 M. R. Setare , H. Adami

Recently, many geometric aspects of $\mathcal{N}$-extended AdS supergravity in chiral variables have been encountered and clarified. In particular, if the theory is supposed to be invariant under SUSY transformations also on boundaries, the…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Konstantin Eder , Hanno Sahlmann

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

Horizons of black branes have an associated entropy current with non-negative divergence. We compute this divergence in a late-time transseries expansion for an inhomogeneous system evolving towards a maximally symmetric asymptotically…

High Energy Physics - Theory · Physics 2020-07-01 Aron Jansen , Ben Meiring

It has been a long-standing problem how to relate Chern-Simons theory to the quantum groups. In this paper we recover the classical $r$-matrix directly from a 3-dimensional Chern-Simons theory with boundary conditions, thus creating a…

High Energy Physics - Theory · Physics 2019-05-10 Nanna Havn Aamand

We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce the natural complexified analogue of the Hitchin connection in K\"{a}hler quantisation, with…

Quantum Algebra · Mathematics 2023-04-27 Jørgen Ellegaard Andersen , Alessandro Malusà , Gabriele Rembado

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all…

High Energy Physics - Theory · Physics 2019-07-17 Francesco Benini

Using resurgent analysis we offer a novel mathematical perspective on a curious bijection (duality) that has many potential applications ranging from the theory of vertex algebras to the physics of SCFTs in various dimensions, to q-series…

High Energy Physics - Theory · Physics 2023-10-20 Ovidiu Costin , Gerald V. Dunne , Angus Gruen , Sergei Gukov

In this paper, we will analyse a three dimensional supersymmetric Chern-Simons theory in SIM(1) superspace formalism. The breaking of the Lorentz symmetry down to the SIM(1) symmetry, breaks half the supersymmetry of the Lorentz invariant…

High Energy Physics - Theory · Physics 2016-02-04 Jiří Vohánka , Mir Faizal