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- W4295722011 abstract "In LQG, black hole horizons are described by 2+1 dimensional boundaries of a bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of gravitational flux which pierce the surface. As is well known, counting of the possible states associated with a given set of punctures allows us to recover the famous Bekenstein-Hawking area law according to which the entropy of a black hole is proportional to the area of the associated horizon $ S_{BH} propto A_{Hor} $. It is also known that the dynamics of the horizon degrees of freedom is described by the Chern-Simons action of a $mathfrak{su(2)}$ (or $mathfrak{u(1)}$ after a certain gauge fixing) valued gauge field $A_{mu}^i$. Recent numerical work which performs the state-counting for punctures, from first-principles, reveals a step-like structure in the entropy-area relation. We argue that both the presence of the Chern-Simons action and the step-like structure in the entropy-area curve are indicative of the fact that the effective theory which describes the dynamics of punctures on the horizon is that of the Quantum Hall Effect." @default.
- W4295722011 created "2022-09-14" @default.
- W4295722011 creator A5064350753 @default.
- W4295722011 date "2012-08-16" @default.
- W4295722011 modified "2023-09-24" @default.
- W4295722011 title "Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity" @default.
- W4295722011 doi "https://doi.org/10.48550/arxiv.1208.3335" @default.
- W4295722011 hasPublicationYear "2012" @default.
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