dc.contributor.author Guica, Monica dc.contributor.author Strominger, Andrew E. dc.date.accessioned 2012-02-10T21:42:28Z dc.date.issued 2009 dc.identifier.citation Guica, Monica, and Andrew E. Strominger. 2009. Wrapped $M2/M5$ duality. Journal of High Energy Physics 2009(10): 36. en_US dc.identifier.issn 1029-8479 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156532 dc.description.abstract A microscopic accounting of the entropy of a generic 5D supersymmetric rotating black hole, arising from wrapped $M2$-branes in Calabi-Yau compactified $M$-theory, is an outstanding unsolved problem. In this paper we consider an expansion around the zero-entropy, zero-temperature, maximally rotating ground state for which the angular momentum $J_L$ and graviphoton charge $Q$ are related by ${J_L}^2 = Q^3$. At $J_L = 0$ the near horizon geometry is $AdS_2 × S^3$. As ${J_L}^2 → Q^3$ it becomes a singular quotient of $AdS_3 × S^2$: more precisely, a quotient of the near horizon geometry of an $M5$ wrapped on a 4-cycle whose self-intersection is the 2-cycle associated to the wrapped-$M2$ black hole. The singularity of the $AdS_3$ quotient is identified as the usual one associated to the zero-temperature limit, suggesting that the (0,4) wrapped-$M5$ CFT is dual near maximality to the wrapped-$M2$ black hole. As evidence for this, the microscopic (0,4) CFT entropy and the macroscopic rotating black hole entropy are found to agree to leading order away from maximality. en_US dc.description.sponsorship Physics en_US dc.language.iso en_US en_US dc.publisher Institute of Physics en_US dc.relation.isversionof doi:10.1088/1126-6708/2009/10/036 en_US dc.relation.hasversion http://arxiv.org/abs/hep-th/0701011 en_US dash.license OAP dc.subject black holes en_US dc.subject string theory en_US dc.subject gravitation en_US dc.subject cosmology en_US dc.subject particle physics en_US dc.subject field theory en_US dc.subject M-theory en_US dc.subject high energy physics en_US dc.title Wrapped $M2/M5$ Duality en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal Journal of High Energy Physics en_US dash.depositing.author Strominger, Andrew E. dc.date.available 2012-02-10T21:42:28Z dc.identifier.doi 10.1088/1126-6708/2009/10/036 * dash.contributor.affiliated Strominger, Andrew
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