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Double quantization of Seiberg-Witten geometry and W-algebras

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arxiv 1612.07590 v2 pith:254MLYTS submitted 2016-12-22 hep-th math.QAmath.RT

Taro Kimura This is my paper
classification hep-thmath.QAmath.RT
keywords gammaalgebradoublegaugequantizationquiverseiberg-wittenspectral
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abstract

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

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  1. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

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