Why Z_{BH} = |Z_{top}|^2

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dc.creatorBeasley, Chris
dc.creatorGaiotto, Davide
dc.creatorGuica, Monica
dc.creatorHuang, Lisa
dc.creatorStrominger, Andrew
dc.creatorYin, Xi
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:20:26Z
dc.date.available2026-07-07T07:20:26Z
dc.descriptionIt is argued, using an M-theory lift, that the IIA partition function on a euclidean AdS_2 x S^2 x CY_3 attractor geometry computes the modified elliptic genus Z_BH of the associated black hole in a large charge expansion. The partition function is then evaluated using the Green-Schwarz formalism. After localizing the worldsheet path integral with the addition of an exact term, contributions arise only from the center of AdS_2 and the north and south poles of S^2. These are the toplogical and anti-topological string partition functions Z_top and {\bar Z_top} respectively. We thereby directly reproduce the perturbative relation Z_BH = |Z_top|^2.
dc.description19 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0608021
dc.identifierhttp://arxiv.org/abs/hep-th/0608021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114952
dc.subjectHigh Energy Physics - Theory
dc.titleWhy Z_{BH} = |Z_{top}|^2
dc.typetext

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