Math @ Duke

Publications [#243306] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Maloney, A; Simons, A, Black hole entropy, marginal stability and mirror symmetry,
Journal of High Energy Physics, vol. 2007 no. 7
(2007),
pp. 034, ISSN 11266708 [hepth/0610033], [doi]
(last updated on 2018/05/27)
Abstract: We consider the superconformal quantum mechanics associated to BPS black holes in type IIB CalabiYau compactifications. This quantum mechanics describes the dynamics of Dbranes in the nearhorizon attractor geometry of the black hole. In many cases, the black hole entropy can be found by counting the number of chiral primaries in this quantum mechanics. Both the attractor mechanism and notions of marginal stability play important roles in generating the large number of microstates required to explain this entropy. We compute the microscopic entropy explicitly in a few different cases, where the theory reduces to quantum mechanics on the moduli space of special Lagrangians. Under certain assumptions, the problem may be solved by implementing mirror symmetry as three Tdualities: this is essentially the mirror of a calculation by Gaiotto, Strominger and Yin. In some simple cases, the calculation may be done in greater generality without resorting to conjectures about mirror symmetry. For example, the K3 × T2 case may be studied precisely using the FourierMukai transform. © SISSA 2007.


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