Near the horizon of 5D black rings
Abstract
Description
For the five dimensional N=2 black rings, we study the supersymmetry enhancement and identify the global supergroup of the near horizon geometry. We show that the global part of the supergroup is OSp(4*|2)X U(1) which is similar to the small black string. We show that results obtained by applying the entropy function formalism, the c-extremization approach and the Brown-Henneaux method to the black ring solution are in agreement with the microscopic entropy calculation.
26 pages, version to appear in JHEP, the near horizon superalgebra is corrected, discussion on small black ring is discarded, Brown-Henneaux approach to large black ring is added
26 pages, version to appear in JHEP, the near horizon superalgebra is corrected, discussion on small black ring is discarded, Brown-Henneaux approach to large black ring is added