Five-dimensional AGT Relation and the Deformed beta-ensemble
Hidetoshi Awata, Yasuhiko Yamada
TL;DR
This paper explores a five-dimensional analog of the AGT relation, introducing a q-deformed beta-ensemble satisfying q-W constraints and linking it to the Nekrasov partition function for 5D SU(N) gauge theories.
Contribution
It defines a novel q-deformation of the beta-ensemble and establishes its relation to five-dimensional gauge theory partition functions.
Findings
q-deformed beta-ensemble satisfies q-W constraints
Relation established with 5D Nekrasov partition function
Extension of AGT correspondence to five dimensions
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.
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