The Bekenstein formula and string theory (\(N\)-brane theory).(English)Zbl 0956.81059
The subject of this review is a recent development in understanding the nature of the microscopic degrees of freedom behind the Bekenstein-Hawking entropy of black holes.
The author begins with a discussion of the supergravity actions in ten dimensions and the kinds of \(p\)-brane classical solutions arising from them. It is discussed how black holes arise upon dimensional reduction of branes, the supersymmetry bound, the different types of supersymmetric (BPS) \(p\)-branes, their connection to 11-dimensional BPS M-branes, and how their gravitational fields behave when the gravitational coupling becomes weak. D-branes and the supersymmetric gauge theory actions describing their dynamics, and T- and S-duality are briefly introduced. Black holes with two electric NS-NS charges, and their correspondence to excited closed strings black holes with one R-R charge, and their correspondence to open \(r\) closed strings are considered.
It is commented on how the NS-NS and R-R correspondences are related to one another, on the transition between arrays and products, and on the endpoint of Hawking evaporation of neutral black hole. The very successful D-brane computation of the microscopic entropy corresponding to BPS and near-BPS black holes are argued. It is mainly concentrated on \(d = 5\) black holes in maximal supergravity, and fractionation.
The next remarks are on \(N = 2\), \(d = 4\) black holes and the microscopic entropy computation from the point of view of M-branes, and D-brane analogues of near-BPS black holes in \(d = 5.\) A discussion of the D-brane analogue of Hawking radiation is given. Successes and some difficulties of the effective string model for emission and absorption, and how in one system discrepancy is fixed via the correspondence principle are referred to. Nonrenormalization arguments for near-BPS systems, and the information puzzle are considered.
D-branes as probes, and matrix theory, D-probes from both the supergravity and supersymmetric gauge theory viewpoints are discussed. A short introduction to matrix theory, and the computation of the matrix theory microscopic entropy for \(d=5\) BPS black holes are given. Recent studies of neutral black holes in matrix theory are referred to. Some very brief remarks on the AdS/CFT correspondence are added.
The author begins with a discussion of the supergravity actions in ten dimensions and the kinds of \(p\)-brane classical solutions arising from them. It is discussed how black holes arise upon dimensional reduction of branes, the supersymmetry bound, the different types of supersymmetric (BPS) \(p\)-branes, their connection to 11-dimensional BPS M-branes, and how their gravitational fields behave when the gravitational coupling becomes weak. D-branes and the supersymmetric gauge theory actions describing their dynamics, and T- and S-duality are briefly introduced. Black holes with two electric NS-NS charges, and their correspondence to excited closed strings black holes with one R-R charge, and their correspondence to open \(r\) closed strings are considered.
It is commented on how the NS-NS and R-R correspondences are related to one another, on the transition between arrays and products, and on the endpoint of Hawking evaporation of neutral black hole. The very successful D-brane computation of the microscopic entropy corresponding to BPS and near-BPS black holes are argued. It is mainly concentrated on \(d = 5\) black holes in maximal supergravity, and fractionation.
The next remarks are on \(N = 2\), \(d = 4\) black holes and the microscopic entropy computation from the point of view of M-branes, and D-brane analogues of near-BPS black holes in \(d = 5.\) A discussion of the D-brane analogue of Hawking radiation is given. Successes and some difficulties of the effective string model for emission and absorption, and how in one system discrepancy is fixed via the correspondence principle are referred to. Nonrenormalization arguments for near-BPS systems, and the information puzzle are considered.
D-branes as probes, and matrix theory, D-probes from both the supergravity and supersymmetric gauge theory viewpoints are discussed. A short introduction to matrix theory, and the computation of the matrix theory microscopic entropy for \(d=5\) BPS black holes are given. Recent studies of neutral black holes in matrix theory are referred to. Some very brief remarks on the AdS/CFT correspondence are added.
Reviewer: Serguey M.Pokas (Odessa)
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
| 83C57 | Black holes |
