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Double quantization of Seiberg-Witten geometry and W-algebras

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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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hep-th 1

years

2025 1

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CONDITIONAL 1

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On W-algebras and ODE/IM correspondence

hep-th · 2025-08-28 · conditional · novelty 6.0

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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  • On W-algebras and ODE/IM correspondence hep-th · 2025-08-28 · conditional · none · ref 71 · internal anchor

    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.