We construct an -deformation of W algebras, corresponding to the additive version of quiver Wq,t-1 algebras which feature prominently in the 5D version of the BPS/CFT correspondence and refined topological strings on toric Calabi-Yau's. This new type of algebras fill in the missing intermediate level between q-deformed and ordinary W algebras. We show that ϵ-deformed W algebras are spectral duals of conventional W algebras, in particular the ϵ-deformed conformal blocks manifestly reproduce instanton partition functions of 4D N = 2 quiver gauge theories in the full Ω-background and give dual integral representations of ordinary W conformal blocks.
Quiver Wϵ1,ϵ2 algebras of 4D N = 2 gauge theories
Nieri F.;
2020-01-01
Abstract
We construct an -deformation of W algebras, corresponding to the additive version of quiver Wq,t-1 algebras which feature prominently in the 5D version of the BPS/CFT correspondence and refined topological strings on toric Calabi-Yau's. This new type of algebras fill in the missing intermediate level between q-deformed and ordinary W algebras. We show that ϵ-deformed W algebras are spectral duals of conventional W algebras, in particular the ϵ-deformed conformal blocks manifestly reproduce instanton partition functions of 4D N = 2 quiver gauge theories in the full Ω-background and give dual integral representations of ordinary W conformal blocks.
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