Lectures on black holes, topological strings and quantum attractors

By B. Pioline. 2006

146 citations recorded by the source corpus.

In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the thermodynamical, large charge limit. After a brief overview of charged black holes in supergravity and string theory, we give an extensive introduction to special and very special geometry, attractor flows and topological string theory, including holomorphic anomalies. We then expose the Ooguri–Strominger–Vafa (OSV) conjecture which relates microscopic degeneracies to the topological string amplitude and review precision tests of this formula on ‘small’ black holes. Finally, motivated by a holographic interpretation of the OSV conjecture, we discuss the radial quantization of BPS black holes (i.e. quantum attractors) and present a recent conjecture relating exact black hole degeneracies to Fourier coefficients of certain automorphic forms.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/12809ffc528f1f759149c8a8a5f27f80cf6a6426

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Citations in the corpus

Black holes, black rings and their microstates (2007, background): “Reviews of this can be found in [60, 61 ], and a limited sample of work that is related to the exploration presented here can be found in [62, 63, 64, 65, 66, 145, 146, 147, 148, 149].”
Extremal black holes in supergravity (2006, background): “Einstein’s theory of general relativity and of its modern generalizations such as supergravity [5], superstrings, and M-theory [6].”
Black hole entropy function, attractors and precision counting of microstates (2007, background): “Various other recent references on entropy function and attractor mechanism can be found in [177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213, 214,215,216,217,218,219,220,221,222,223,224,”
Black Holes, Qubits and Octonions (2008, methodology): “We emphasise that this way of incorporating the octonions, inspired by the Fano plane qubit interpretation, is completely different from the role of octonions in the description of N = 8 supergravity using Jordan algebras and Freudenthal triple systems [27, 4, 28] , described in section 9.”