A Black Hole Farey Tail

Details A Black Hole Farey Tail A Black Hole Farey Tail

2000-04-29

arxiv.org/abs/hep-th/0005003v3

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, harvmac b-mode. 9 figures; minor mistakes corrected; V3: An important mistake has been corrected. Conclusions essent

Scientific paper

We derive an exact expression for the Fourier coefficients of elliptic genera of Calabi-Yau manifolds. When applied to k-fold symmetric products of K3 surfaces the expression is well-suited to studying the AdS/CFT correspondence on AdS3 x S3. The expression also elucidates an SL(2,Z) invariant phase diagram for the D1/D5 system involving deconfining transitions in the limit as k goes to infinity.

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