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Elliptic Virasoro Conformal Blocks

Amer Iqbal Harvard University CMSA, Abdus Salam School of Mathematical Sciences, Center for Theoretical Physics Can Kozcaz Harvard University CMSA Shing-Tung Yau Harvard University CMSA

Publications of CMSA of Harvard mathscidoc:1702.38018

We study certain six dimensional theories arising on (p, q) brane webs living on R × S. These brane webs are dual to toric elliptically fibered Calabi-Yau threefolds. The compactification of the space on which the brane web lives leads to a deformation of the partition functions equivalent to the elliptic deformation of the Ding-Iohara algebra. We compute the elliptic version Dotsenko-Fateev integrals and show that they reproduce the instanton counting of the six dimensional theory.
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@inproceedings{amerelliptic,
  title={Elliptic Virasoro Conformal Blocks},
  author={Amer Iqbal, Can Kozcaz, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207002526405816218},
}
Amer Iqbal, Can Kozcaz, and Shing-Tung Yau. Elliptic Virasoro Conformal Blocks. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207002526405816218.
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