Black hole entropy, marginal stability and mirror symmetry

Published

Journal Article

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon 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 T-dualities: 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 × T2case may be studied precisely using the Fourier-Mukai transform. © SISSA 2007.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Maloney, A; Simons, A

Published Date

  • July 1, 2007

Published In

Volume / Issue

  • 2007 / 7

Electronic International Standard Serial Number (EISSN)

  • 1029-8479

International Standard Serial Number (ISSN)

  • 1126-6708

Digital Object Identifier (DOI)

  • 10.1088/1126-6708/2007/07/034

Citation Source

  • Scopus