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arXiv · 1511.00458

Elliptic Virasoro Conformal Blocks

Amer Iqbal·Can Kozcaz·Shing-Tung Yau
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Abstract

We study certain six dimensional theories arising on $(p,q)$ brane webs living on $\mathbb{R}\times S^1$. 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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Amer Iqbal, Can Kozcaz, Shing-Tung Yau. 2016-10-20. Elliptic Virasoro Conformal Blocks. https://arxiv.org/abs/1511.00458

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