# Microscopic Realization of the Kerr/CFT Correspondence

 Title: Microscopic Realization of the Kerr/CFT Correspondence Author: Guica, Monica; Strominger, Andrew E. Note: Order does not necessarily reflect citation order of authors. Citation: Guica, Monica, and Andrew Strominger. 2011. Microscopic Realization of the Kerr/CFT Correspondence. Journal of High Energy Physics 2011(2): 1-20. Full Text & Related Files: 1009.5039v1.pdf (205.3Kb; PDF) Abstract: Supersymmetric M/string compactifications to five dimensions contain BPS black string solutions with magnetic graviphoton charge $$P$$ and near-horizon geometries which are quotients of $$AdS 3 \times S^2$$. The holographic duals are typically known 2D CFTs with central charges $$c L = c R = 6P^3$$ for large $$P$$. These same 5D compactifications also contain non-BPS but extreme Kerr-Newman black hole solutions with $$SU(2)$$ Lspin $$J L$$ and electric graviphoton charge $$Q$$ obeying $$Q^3 \le J L^2$$. It is shown that in the maximally charged limit $$Q^3 \rightarrow J L^2$$, the near-horizon geometry coincides precisely with the right-moving temperature $$T R = 0$$ limit of the black string with magnetic charge $$P = J L^\frac{1}{3}$$. The known dual of the latter is identified as the $$cL = c R =6J L$$ CFT predicted by the Kerr/CFT correspondence. Moreover, at linear order away from maximality, one finds a $$T R \not= 0$$ quotient of the AdS 3 factor of the black string solution and the associated thermal CFT entropy reproduces the linearly sub-maximal Kerr-Newman entropy. Beyond linear order, for general $$Q^3 < J L^2$$, one has a finite-temperature quotient of a warped deformation of the magnetic string geometry. The corresponding dual deformation of the magnetic string CFT potentially supplies, for the general case, the $$c L = c R =6J L$$ CFT predicted by Kerr/CFT. Published Version: doi:10.1007/JHEP02(2011)010 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:8087213 Downloads of this work: