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arXiv · 1612.07590

Double quantization of Seiberg-Witten geometry and W-algebras

Taro Kimura
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Abstract

We show that the double quantization of Seiberg-Witten spectral curve for $Γ$-quiver gauge theory defines the generating current of W$(Γ)$-algebra in the free field realization. We also show that the partition function is given as a correlator of the corresponding W$(Γ)$-algebra, which is equivalent to the AGT relation under the gauge/quiver (spectral) duality.

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Taro Kimura. 2018-01-09. Double quantization of Seiberg-Witten geometry and W-algebras. https://doi.org/10.1090/pspum%2F100%2F01762

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