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M-Theory, Topological Strings and Spinning Black Holes

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arxiv hep-th/9910181 v2 pith:VOGXSOVG submitted 1999-10-22 hep-th

M-Theory, Topological Strings and Spinning Black Holes

Sheldon Katz , Albrecht Klemm , Cumrun Vafa This is my paper
classification hep-th
keywords topologicalstringamplitudesblackcalabi-yaugeneraholesm-theory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider M-theory compactification on Calabi-Yau threefolds. The recently discovered connection between the BPS states of wrapped M2 branes and the topological string amplitudes on the threefold is used both as a tool to compute topological string amplitudes at higher genera as well as to unravel the degeneracies and quantum numbers of BPS states. Moduli spaces of $k$-fold symmetric products of the wrapped M2 brane play a crucial role. We also show that the topological string partition function is the Calabi-Yau version of the elliptic genus of the symmetric product of $K3$'s and use the macroscopic entropy of spinning black holes in 5 dimensions to obtain new predictions for the asymptotic growth of the topological string amplitudes at high genera.

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Cited by 3 Pith papers

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    Topological string partition function on CY threefolds factors into conifold terms powered by sheaf invariants, enabling non-perturbative Borel-resummed expression whose jumps are controlled by genus-zero GV invariant...

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    Numerical analysis of 5D indices shows a transition from BMPV black hole entropy to black ring entropy at critical angular momentum m, while PT invariants exhibit two further transitions at positive m and DT invariant...