Microscopic realization of the Kerr/CFT correspondence

摘要

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)× S _(2). The holographic duals are typically known 2D CFTs with central charges c ~( L )= c ~( R )= 6 P _(3)for large P . These same 5D compactifications also contain non-BPS but extreme Kerr-Newman black hole solutions with SU(2)~( L )spin J ~( L )and electric graviphoton charge Q obeying Q _(3)≤ J ~( L )_(2). It is shown that in the maximally charged limit Q _(3)→ 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 )_(1/3). The known dual of the latter is identified as the c ~( L )= c ~( R )=6 J ~( L )CFT predicted by the Kerr/CFT correspondence. Moreover, at linear order away from maximality, one finds a T ~( R )≠ 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 )=6 J ~( L )CFT predicted by Kerr/CFT.