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Entropy 2010, 12(10), 2097-2143; doi:10.3390/e12102097

On the Microscopic Perspective of Black Branes Thermodynamic Geometry

1
INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
2
Department of Physics Indian Institute of Technology-Kanpur, Kanpur-208016, India
*
Author to whom correspondence should be addressed.
Received: 15 August 2010 / Accepted: 10 September 2010 / Published: 30 September 2010
Download PDF [301 KB, 24 February 2015; original version 24 February 2015]

Abstract

We study thermodynamic state-space geometry of the black holes in string theory and M-theory. For a large number of microstates, we analyze the intrinsic state-space geometry for (i) extremal and non-extremal black branes in string theory, (ii) multi-centered black brane configurations, (iv) small black holes with fractional branes, and (v) fuzzy rings in the setup of Mathur’s fuzzballs and subensemble theory. We extend our analysis for the black brane foams and bubbling black brane solutions in M-theory. We discuss the nature of state-space correlations of various black brane configurations, and show that the notion of state-space manifolds describes the associated coarse-grained interactions of the corresponding microscopic CFT data.
Keywords: black hole physics; thermodynamic state-space geometry; higher-dimensional black objects; string theory; M-theory black hole physics; thermodynamic state-space geometry; higher-dimensional black objects; string theory; M-theory
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Bellucci, S.; Tiwari, B.N. On the Microscopic Perspective of Black Branes Thermodynamic Geometry. Entropy 2010, 12, 2097-2143.

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