Five-dimensional AGT Relation and the Deformed beta-ensemble

Abstract

We discuss an analog of the AGT relation in five dimensions. We define a q-deformation of the beta-ensemble which satisfies q-W constraint. We also show a relation with the Nekrasov partition function of 5D SU(N) gauge theory with N_f=2N.

38page. References and an appendix for 4D case added. Typos corrected

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