Black Hole Entropy in the Presence of Chern–Simons Term and Holography

2018 ◽  
pp. 119-124
Author(s):  
T. Azeyanagi
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Chern Simons

scholarly journals Gravitational Chern-Simons terms and black hole entropy. Global aspects

2012 ◽  
Vol 2012 (10) ◽  
Author(s):  
L. Bonora ◽  
M. Cvitan ◽  
P. Dominis Prester ◽  
S. Pallua ◽  
I. Smolić
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Chern Simons

scholarly journals Topological Entanglement Entropy of Black Hole Interiors

2020 ◽  
pp. 1940001
Author(s):  
Eric Howard
Keyword(s):  
Black Hole ◽  
Long Range ◽  
Entanglement Entropy ◽  
Quantum Hall ◽  
Black Hole Entropy ◽  
Topological Quantum ◽  
Boundary Correspondence ◽  
Entropy Of Black Hole ◽  
Topological Entanglement Entropy ◽  
Chern Simons

Recent theoretical progress shows that ([Formula: see text]) black hole solution manifests long-range topological quantum entanglement similar to exotic non-Abelian excitations with fractional quantum statistics. In topologically ordered systems, there is a deep connection between physics of the bulk and that at the boundaries. Boundary terms play an important role in explaining the black hole entropy in general. We find several common properties between BTZ black holes and the Quantum Hall effect in ([Formula: see text])-dimensional bulk/boundary theories. We calculate the topological entanglement entropy of a ([Formula: see text]) black hole and recover the Bekenstein–Hawking entropy, showing that black hole entropy and topological entanglement entropy are related. Using Chern–Simons and Liouville theories, we find that long-range entanglement describes the interior geometry of a black hole and identify it with the boundary entropy as the bond required by the connectivity of spacetime, gluing the short-range entanglement described by the area law. The IR bulk–UV boundary correspondence can be realized as a UV low-excitation theory on the bulk matching the IR long-range excitations on the boundary theory. Several aspects of the current findings are discussed.

scholarly journals Gravitational Chern-Simons Lagrangians and black hole entropy

2011 ◽  
Vol 2011 (7) ◽  
Author(s):  
L. Bonora ◽  
M. Cvitan ◽  
P. Dominis Prester ◽  
S. Pallua ◽  
I. Smolić
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Chern Simons

scholarly journals BTZ black hole entropy from a Chern–Simons matrix model

2013 ◽  
Vol 30 (23) ◽  
pp. 235016 ◽  
Author(s):  
A Chaney ◽  
Lei Lu ◽  
A Stern
Keyword(s):  
Black Hole ◽  
Matrix Model ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Chern Simons

scholarly journals Black hole entropy in the Chern-Simons formulation of(2+1)-dimensional gravity

1997 ◽  
Vol 55 (10) ◽  
pp. 6162-6167 ◽  
Author(s):  
Máximo Bañados ◽  
Andrés Gomberoff
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Dimensional Gravity ◽  
Chern Simons

scholarly journals Gravitational Chern-Simons terms and black hole entropy. Global aspects

2012 ◽  
Vol 2012 (10) ◽  
Author(s):  
L. Bonora ◽  
M. Cvitan ◽  
P. Dominis Prester ◽  
S. Pallua ◽  
I. Smolić
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Chern Simons

scholarly journals Black Hole Entropy from Indistinguishable Quantum Geometric Excitations

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Abhishek Majhi
Keyword(s):  
Black Hole ◽  
Energy Levels ◽  
Black Hole Entropy ◽  
Particle Energy ◽  
Simons Theory ◽  
Large Area ◽  
Area Limit ◽  
Bose Einstein ◽  
Counting Formula ◽  
Chern Simons

In loop quantum gravity the quantum geometry of a black hole horizon consists of discrete nonperturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these punctures are compared to a gas of particles, then the spins associated with the punctures can be viewed as single puncture area levels analogous to single particle energy levels. Consequently, if we assume these punctures to be indistinguishable, the microstate count for the horizon resembles that of Bose-Einstein counting formula for gas of particles. For the Bekenstein-Hawking area law to follow from the entropy calculation in the large area limit, the Barbero-Immirzi parameter (γ) approximately takes a constant value. As a by-product, we are able to speculate the state counting formula for the SU(2) quantum Chern-Simons theory coupled to indistinguishable sources in the weak coupling limit.

scholarly journals Black Hole Entropy andSU(2)Chern-Simons Theory

2010 ◽  
Vol 105 (3) ◽  
Author(s):  
Jonathan Engle ◽  
Karim Noui ◽  
Alejandro Perez
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory
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