The 4d Superconformal Index from q-deformed 2d Yang-Mills
Abhijit Gadde, Leonardo Rastelli, Shlomo S. Razamat, Wenbin Yan
TL;DR
This paper establishes a connection between the 4d N=2 superconformal index and q-deformed 2d Yang-Mills theory, enabling explicit calculations for complex strongly-coupled theories.
Contribution
It identifies the 2d topological theory underlying the 4d superconformal index as q-deformed 2d Yang-Mills, providing a new computational approach.
Findings
Evaluates the superconformal index for Gaiotto's T_N theories.
Links 4d superconformal indices to 2d topological quantum field theories.
Provides a method to compute indices of strongly-coupled 4d SCFTs.
Abstract
We identify the 2d topological theory underlying the N=2 4d superconformal index with an explicit model: q-deformed 2d Yang-Mills. By this route we are able to evaluate the index of some strongly-coupled 4d SCFTs, such as Gaiotto's T_N theories.
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