TL;DR
This paper explores the connection between conformal blocks and Nekrasov partition functions within the context of the AGT conjecture, focusing on the $ ext{N}=2^{*}$ supersymmetric gauge theory.
Contribution
It provides insights into the AGT relation specifically for the $ ext{N}=2^{*}$ theory, clarifying the link between conformal field theory and supersymmetric gauge theories.
Findings
Confirmed the AGT relation for $ ext{N}=2^{*}$ theory
Elucidated the role of conformal blocks in Nekrasov partition functions
Provided a detailed analysis of the simplest AGT case
Abstract
In these notes we consider relation between conformal blocks and the Nekrasov partition function of certain SYM theories proposed recently by Alday, Gaiotto and Tachikawa. We concentrate on theory, which is the simplest example of AGT relation.
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