Indefinite theta functions for counting attractor backgrounds

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dc.contributor.authorCardoso, Gabriel Lopes
dc.contributor.authorCiraficia, Michele
dc.contributor.authorNampurib, Suresh
dc.date.accessioned2015-07-28T12:48:12Z
dc.date.available2015-07-28T12:48:12Z
dc.date.issued2014-10-03
dc.description.abstractIn this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified heterotic string theory, graded by electric and magnetic charges. The regularization is achieved by viewing the weighted sums of degeneracies as sums over charge excitations in the near-horizon attractor geometry of an arbitrarily chosen black hole background, and eliminating the unstable modes. This enables us to rewrite these sums in terms of indefinite theta functions. Background independence is then implemented by using the transformation property of indefinite theta functions under elliptic transformations, while modular transformations are used to make contact with semi-classical results in supergravity.en_ZA
dc.identifier.issn1029-8479
dc.identifier.urihttp://hdl.handle.net/10539/18153
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.subjectResearch Subject Categories::NATURAL SCIENCES::Physicsen_ZA
dc.subjectSupersymmetry and Dualityen_ZA
dc.subjectBlack Holes in String Theoryen_ZA
dc.subjectExtended Supersymmetryen_ZA
dc.subjectBlack Holesen_ZA
dc.titleIndefinite theta functions for counting attractor backgroundsen_ZA
dc.typeArticleen_ZA
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