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Double quantization of Seiberg–Witten geometry and W-algebras

Double quantization of Seiberg–Witten geometry and W-algebras

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 …