Séminaire de Physique Théorique

Elliptic deformation of W-algebras from 6d quiver gauge theory

par Prof. Taro KIMURA (Department of Physics, Keio University)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

35, route de Chartres, F-91440 Bures-sur-Yvette (France)
Description
In this talk, we show that the elliptic deformation of W-algebra is naturally realized using quiver gauge theory in six dimensions compactified on a torus. This construction is based on the gauge theoretical realization of W-algebra proposed in our previous study [arXiv:1512.08533]. In particular, double quantization of Seiberg-Witten geometry for Γ-quiver gauge theory provides a generating current of W(Γ)-algebra in the free field realization. We also show that the partition function is given by a correlator of the corresponding W(Γ)-algebra, which is equivalent to the AGT relation under the gauge/quiver (base/fibre; spectral) duality. This talk is based on a collaboration with V. Pestun [arXiv:1608.04651]
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