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A Black Hole Farey Tail
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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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Cited by 2 Pith papers
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Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
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Spinning States and Unitarity in 3D Gravity
Spinning states scaled with central charge cancel negative densities in 3D gravity, reinterpreted as bulk defects or overspinning BTZ quotients of AdS3 that preserve the gap but exhibit causal pathologies.
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