The SU(2) black hole entropy revisited

Engle, Jonathan; Noui, Karim; Pérez, Alejandro; Pranzetti, Daniele

doi:10.1007/jhep05(2011)016

Cited by 90 publications

(113 citation statements)

References 48 publications

(203 reference statements)

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“…The dimension of the resulting Chern-Simons Hilbert space of the punctured two-sphere has been computed in different statistical mechanical ensembles and shown to generate a leading term linear in the IH area [5][6][7][8][9] (see [10] for a review) which matches the Bekenstein-Hawking formula for a specific numerical real value γ 0 of the Barbero-Immirzi parameter γ . However, this feature of the standard LQG black hole entropy calculation has raised concern in the past years.…”

Section: Introductionmentioning

confidence: 94%

CFT/gravity correspondence on the isolated horizon

Ghosh

Pranzetti

2014

Nuclear Physics B

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A quantum isolated horizon can be modelled by an SU(2) Chern-Simons theory on a punctured 2-sphere. We show how a local 2-dimensional conformal symmetry arises at each puncture inducing an infinite set of new observables localised at the horizon which satisfy a Kac-Moody algebra. By means of the isolated horizon boundary conditions, we represent the gravitational flux degrees of freedom in terms of the zero modes of the Kac-Moody algebra defined on the boundary of a punctured disk. In this way, our construction encodes a precise notion of CFT/gravity correspondence. The higher modes in the algebra represent new nongeometric charges which can be represented in terms of free matter field degrees of freedom. When computing the CFT partition function of the system, these new states induce an extra degeneracy factor, representing the density of horizon states at a given energy level, which reproduces the Bekenstein's holographic bound for an imaginary Immirzi parameter. This allows us to recover the Bekenstein-Hawking entropy formula without the large quantum gravity corrections associated with the number of punctures.

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Section: Introductionmentioning

confidence: 94%

CFT/gravity correspondence on the isolated horizon

Ghosh

Pranzetti

2014

Nuclear Physics B

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“…Among these approaches, numerous mainstream unification candidates (and variations of them) exist, including, superstring theory [6], QG, loop quantum gravity (LQG) [7][8][9][10][11], Chern-Simons theory [12], Yukawa (10) theory [13], E8 theory [14], and others. Frequently, components and ideas from different theories are combined, adjusted, and "hacked" together (i.e., copy-andpaste methods) to establish new hybrid theoretical frameworks with customized capabilities, such as semiclassical physics, which intertwines aspects of quantum mechanics and classical mechanics.…”

Section: Introductionmentioning

confidence: 99%

Initiating the Effective Unification of Black Hole Horizon Area and Entropy Quantization with Quasi-Normal Modes

Corda

Hendi

Katebi

et al. 2014

Advances in High Energy Physics

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Black hole (BH) area quantization may be the key to unlocking a unifying theory of quantum gravity (QG). Surmounting evidence in the field of BH research continues to support a horizon (surface) area with a discrete and uniformly spaced spectrum, but there is still no general agreement on the level spacing. In the specialized and important BH case study, our objective is to report and examine the pertinent groundbreaking work of the strictly thermal and nonstrictly thermal spectrum level spacing of the BH horizon area quantization with included entropy calculations, which aims to tackle this gigantic problem. In particular, such work exemplifies a series of imperative corrections that eventually permits a BH's horizon area spectrum to be generalized from strictly thermal to nonstrictly thermal with entropy results, thereby capturing multiple preceding developments by launching an effective unification between them. Moreover, the results are significant because quasi-normal modes (QNM) and "effective states" characterize the transitions between the established levels of the nonstrictly thermal spectrum.

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“…The degeneracy spectrum of black holes and its relation to the entropy has also recently been studied in [9]. A calculation of the entropy in the SU(2) formalism incorporating quantum group corrections has recently been conducted in [10].…”

Section: Introductionmentioning

confidence: 99%

A note on the symmetry reduction of SU(2) on horizons of various topologies

DeBenedictis¹,

Kloster²,

Brännlund³

2011

Class. Quantum Grav.

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It is known that the SU(2) degrees of freedom manifest in the description of the gravitational field in loop quantum gravity are generally reduced to U(1) degrees of freedom on an S 2 isolated horizon. General relativity also allows black holes with planar, toroidal, or higher genus topology for their horizons. These solutions also meet the criteria for an isolated horizon, save for the topological criterion, which is not crucial. We discuss the relevant corresponding symmetry reduction for black holes of various topologies (genus 0 and ≥ 2) here and discuss its ramifications to black hole entropy within the loop quantum gravity paradigm. Quantities relevant to the horizon theory are calculated explicitly using a generalized ansatz for the connection and densitized triad as well as utilizing a general metric admitting hyperbolic sub-spaces. In all scenarios, the internal symmetry may be reduced to combinations of U(1).

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The SU(2) black hole entropy revisited

Cited by 90 publications

References 48 publications

CFT/gravity correspondence on the isolated horizon

CFT/gravity correspondence on the isolated horizon

Initiating the Effective Unification of Black Hole Horizon Area and Entropy Quantization with Quasi-Normal Modes

A note on the symmetry reduction of SU(2) on horizons of various topologies

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