Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-15
JHEP 0703:015,2007
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 5 figures, corrected typos and references added
Scientific paper
10.1088/1126-6708/2007/03/015
Using the general framework developed in hep-th/0607056, we study in detail the phase space of BPS Black Holes in AdS, for the case where all three electric charges are equal. Although these solitons are supersymmetric with zero Hawking temperature, it turns out that these Black Holes have rich phase structure with sharp phase transitions associated to a corresponding critical generalized temperature. We are able to rewrite the gravity variables in terms of dual CFT variables and compare the gravity phase diagram with the free dual CFT phase diagram. In particular, the elusive supergravity constraint characteristic of these Black Holes is particulary simple and in fact appears naturally in the dual CFT in the definition of the BPS Index. Armed with this constraint, we find perfect match between BH and free CFT charges up to expected constant factors.
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