Wrapped \(M2/M5\) Duality
| Title: | Wrapped \(M2/M5\) Duality |
| Author: |
Guica, Monica; Strominger, Andrew E.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Guica, Monica, and Andrew E. Strominger. 2009. Wrapped \(M2/M5\) duality. Journal of High Energy Physics 2009(10): 36. |
| Full Text & Related Files: |
0701011v1.pdf (132.2Kb; PDF) 
|
| 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. |
| Published Version: | doi:10.1088/1126-6708/2009/10/036 |
| Other Sources: | http://arxiv.org/abs/hep-th/0701011 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156532 |
This item appears in the following Collection(s)
-
FAS Scholarly Articles [5171]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
Contact administrator regarding this item (to report mistakes or request changes)
