W(1+infinity) algebra as a symmetry behind AGT relation

TL;DR

This paper presents evidence that the W(1+infinity) algebra underpins the symmetry structure of the AGT(-W) conjecture, linking supersymmetric gauge theories with conformal field theories.

Contribution

It proposes the W(1+infinity) algebra as the symmetry algebra behind the AGT(-W) conjecture, providing a new algebraic perspective on the correspondence.

Findings

Evidence supporting W(1+infinity) as the symmetry behind AGT(-W)

Connection established between gauge theory partition functions and conformal correlators

New algebraic framework for understanding AGT(-W) conjecture

Abstract

We give some evidences which imply that W(1+infinity) algebra describes the symmetry behind AGT(-W) conjecture: a correspondence between the partition function of N=2 supersymmetric quiver gauge theories and the correlators of Liouville (Toda) field theory.