Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2019)043
Keywords
Black Holes in String Theory; Conformal Field Models in String Theory; Supergravity Models
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Funding
- D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) - Dutch Ministry of Education, Culture and Science (OCW)
- NWO Graduate Programme
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We study the central charges and levels of 2d N = (0, 4) superconformal field theories that are dual to four- and five-dimensional BPS black holes in compactifications of type IIB string theory on a K3 surface. They arise from wrapping a D3-brane on a curve C inside K3 and have transverse space either an ALE or ALF space. These D3-branes have an AdS(3) x S-3/Gamma near horizon geometry where Gamma is a discrete subgroup of SU(2). We compute the central charges and levels of the 2d SCFTs both in the microscopic picture and from six-dimensional N = (2, 0) supergravity. These quantities determine the black hole entropy via Cardy's formula. We find agreement between the microscopic and macroscopic computations. The contributions from one-loop quantum corrections to the macroscopic result are crucial for this matching.
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