Black Hole Entropy, Marginal Stability and Mirror Symmetry

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dc.creatorAspinwall, Paul S.
dc.creatorMaloney, Alexander
dc.creatorSimons, Aaron
dc.date2006-10-03
dc.date.accessioned2026-07-07T11:27:50Z
dc.date.available2026-07-07T11:27:50Z
dc.descriptionWe 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 K3xT^2 case may be studied precisely using the Fourier-Mukai transform.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0610033
dc.identifierhttp://arxiv.org/abs/hep-th/0610033
dc.identifierJHEP0707:034,2007
dc.identifierdoi:10.1088/1126-6708/2007/07/034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196260
dc.subjectHigh Energy Physics - Theory
dc.titleBlack Hole Entropy, Marginal Stability and Mirror Symmetry
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