Partition function of $\mathcal{N}=2$ supersymmetric gauge theory and two-dimensional Yang-Mills theory

Abstract

We study four-dimensional $\mathcal{N}=2$ supersymmetric $U(N)$ gauge theory with $2N$ fundamental hypermultiplets in the self-dual $\Omega$-background. The partition function simplifies at special points of the parameter space and is related to the partition function of two-dimensional Yang-Mills theory on $S^2$. We also consider the insertion of a Wilson loop operator in two-dimensional Yang-Mills theory and find the corresponding operator in the four-dimensional $\mathcal{N}=2$ gauge theory.

17 pages, typos corrected. Published version in PRD

References in corpus (4)

• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Small Instantons, Little Strings and Free Fermions
• Wilson loops: From four-dimensional SYM to two-dimensional YM

Cited by in corpus (3)

• Intersecting Defects and Supergroup Gauge Theory
• Tetrahedron instantons
• A note on chiral trace relations from qq-characters