scholarly journals Quantum double and κ-Poincaré symmetries in (2+1)-gravity and Chern–Simons theoryThis paper was presented at the Theory CANADA 4 conference, held at Centre de recherches mathématiques, Montréal, Québec, Canada on 4–7 June 2008.

2009 ◽  
Vol 87 (3) ◽  
pp. 245-250
Author(s):  
C. Meusburger
Keyword(s):  
Hopf Algebra ◽  
Simons Theory ◽  
De Sitter ◽  
Quantum Double ◽  
Isometry Groups ◽  
Chern Simons ◽  
Chern Simons Theory

We clarify the role of Drinfeld doubles and κ-Poincaré symmetries in quantized (2+1)-gravity and Chern–Simons theory. We discuss the conditions under which a given Hopf algebra symmetry is compatible with a Chern–Simons theory and determine this compatibility explicitly for the Drinfeld doubles and κ-Poincaré symmetries associated with the isometry groups of (2+1)-gravity. In particular, we show that κ-Poincaré symmetries with a timelike deformation are not directly associated with (2+1)-gravity. The association between these κ-Poincaré symmetries and Chern–Simons theory is possible only in the de Sitter case and the relevant Chern–Simons theory is physically inequivalent to (2+1)-gravity.

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the 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 the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

scholarly journals A GENERAL SOLUTION OF THE BV-MASTER EQUATION AND BRST FIELD THEORIES

1993 ◽  
Vol 08 (22) ◽  
pp. 2087-2097 ◽  
Author(s):  
ÖMER F. DAYI
Keyword(s):  
Master Equation ◽  
General Procedure ◽  
Field Theories ◽  
Simons Theory ◽  
Proper Solution ◽  
First Order ◽  
Brst Charge ◽  
Chern Simons ◽  
Chern Simons Theory

For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators should satisfy to conclude that this construction is relevant. The general procedure is illustrated by its application to the Chern-Simons theory in any odd dimension. Moreover, it is shown that this formalism is also applicable to BRST field theories when one replaces the role of the exterior derivative with the BRST charge of first quantization.

scholarly journals Information from quantum blackhole physics

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2337-2346
Author(s):  
T. R. Govindarajan
Keyword(s):  
Simons Theory ◽  
Partition Functions ◽  
Cosmological Horizon ◽  
Manifolds With Boundary ◽  
De Sitter ◽  
Asymptotic Regime ◽  
Logarithmic Corrections ◽  
Chern Simons ◽  
Chern Simons Theory

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 exploited to construct exact partition functions and obtain logarithmic corrections to Bekenstein formula in the asymptotic regime. Comments are made on the dS/CFT correspondence frising from these studies.

ON THE ROLE OF WIGNER'S LITTLE GROUP AS A GENERATOR OF GAUGE TRANSFORMATION IN MAXWELL–CHERN–SIMONS THEORY

2001 ◽  
Vol 16 (13) ◽  
pp. 853-862 ◽  
Author(s):  
RABIN BANERJEE ◽  
BISWAJIT CHAKRABORTY ◽  
TOMY SCARIA
Keyword(s):  
Gauge Transformation ◽  
Simons Theory ◽  
Temporal Gauge ◽  
Gauge Fixing ◽  
Chern Simons ◽  
Chern Simons Theory

The role of Wigner's little group in 2 + 1 dimensions as a generator of gauge transformation in the topologically massive Maxwell–Chern–Simons (MCS) theory is discussed. The similarities and dissimilarities between the Maxwell and MCS theories in the context of gauge fixing (spatial transversality and temporal gauge) are also analyzed.

scholarly journals Four-dimensional Brane–Chern–Simons Gravity and Cosmology

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
F. Gómez ◽  
S. Lepe ◽  
P. Salgado
Keyword(s):  
Accelerated Expansion ◽  
Kinetic Term ◽  
Simons Theory ◽  
De Sitter ◽  
Field Equations ◽  
Dimensional Spacetime ◽  
Geometric Origin ◽  
Chern Simons ◽  
Evolution Scheme ◽  
Chern Simons Theory

AbstractFrom the field equations corresponding to a four-dimensional brane embedded in the five-dimensional spacetime of the Einstein–Chern–Simons theory for gravity, we find cosmological solutions that describe an accelerated expansion for a flat universe. Apart from a quintessence-type evolution scheme, we obtain a transient phantom evolution, which is not ruled out by the current observational data. Additionally, a bouncing solution is shown. The introduction of a kinetic term in the action shows a de Sitter behavior although the energy density is not constant. A quintessence behavior is also found. We conjecture on a possible geometric origin of dark energy coming from this action.

scholarly journals Three-dimensional de Sitter horizon thermodynamics

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Dionysios Anninos ◽  
Eleanor Harris
Keyword(s):  
Entanglement Entropy ◽  
Three Dimensional ◽  
Simons Theory ◽  
De Sitter ◽  
Edge Mode ◽  
Mode Theory ◽  
Dimensional Gravity ◽  
Field Fluctuations ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to matter semi-classically expanded about the round three-sphere saddle. We investigate a corresponding Lorentzian picture — drawing inspiration from the topological entanglement entropy literature — in the form of an edge-mode theory residing at the de Sitter horizon. We extend the discussion to three-dimensional gravity with positive cosmological constant, viewed (semi-classically) as a complexified Chern-Simons theory. The putative gravitational edge-mode theory is a complexified version of the chiral Wess-Zumino-Witten model associated to the edge-modes of ordinary Chern-Simons theory. We introduce and solve a family of complexified Abelian Chern-Simons theories as a way to elucidate some of the more salient features of the gravitational edge-mode theories. We comment on the relation to the AdS4/CFT3 correspondence.

scholarly journals Exact solutions in higher-dimensional Lovelock and AdS 5 Chern-Simons gravity

2021 ◽  
Vol 2021 (11) ◽  
pp. 057
Author(s):  
Francesco Bajardi ◽  
Daniele Vernieri ◽  
Salvatore Capozziello
Keyword(s):  
Exact Solutions ◽  
Dimensional Space ◽  
Simons Theory ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Lovelock Gravity ◽  
Higher Dimensional ◽  
Structure Equations ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract Lovelock gravity in D-dimensional space-times is considered adopting Cartan's structure equations. In this context, we find out exact solutions in cosmological and spherically symmetric backgrounds. In the latter case, we also derive horizons and the corresponding Bekenstein-Hawking entropies. Moreover, we focus on the topological Chern-Simons theory, providing exact solutions in 5 dimensions. Specifically, it is possible to show that Anti-de Sitter invariant Chern-Simons gravity can be framed within Lovelock-Zumino gravity in 5 dimensions, for particular choices of Lovelock parameters.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Gauge Field ◽  
Wilson Line ◽  
Entanglement Entropy ◽  
Simons Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We consider symmetry-resolved entanglement entropy in AdS3/CFT2 coupled to U(1) Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line in the bulk of AdS3, namely the Ryu-Takayanagi geodesic minimally coupled to the U(1) Chern-Simons gauge field. We identify the holonomy around the Wilson line as the Aharonov-Bohm phases which, in the two-dimensional field theory, are generated by charged U(1) vertex operators inserted at the endpoints of the entangling interval. Furthermore, we devise a new method to calculate the symmetry resolved entanglement entropy by relating the generating function for the charged moments to the amount of charge in the entangling subregion. We calculate the subregion charge from the U(1) Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to derive the symmetry-resolved entanglement entropy for Poincaré patch and global AdS3, as well as for the conical defect geometries. In all three cases, the symmetry resolved entanglement entropy is determined by the length of the Ryu-Takayanagi geodesic and the Chern-Simons level k, and fulfills equipartition of entanglement. The asymptotic symmetry algebra of the bulk theory is of $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody type. Employing the $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry, we confirm our holographic results by a calculation in the dual conformal field theory.

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