Black Holes , q-Deformed 2 d Yang-Mills , and Non-perturbative Topological Strings

@inproceedings{Aganagic2005BlackH,
  title={Black Holes , q-Deformed 2 d Yang-Mills , and Non-perturbative Topological Strings},
  author={Mina Aganagic and Hirosi Ooguri and Natalia Saulina and Cumrun Vafa},
  year={2005}
}
We count the number of bound states of BPS black holes on local Calabi-Yau threefolds involving a Riemann surface of genus g. We show that the corresponding gauge theory on the brane reduces to a q-deformed Yang-Mills theory on the Riemann surface. Following the recent connection between the black hole entropy and the topological string partition function, we find that for a large black hole charge N , up to corrections of O(e ), ZBH is given as a sum of a square of chiral blocks, each of which… CONTINUE READING
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