TL;DR
This paper reviews exact results for N=2 supersymmetric gauge theories on S^4, including localization techniques and explicit formulas for partition functions and observables, advancing understanding of supersymmetric theories on curved spaces.
Contribution
It provides a comprehensive overview of the construction and localization of N=2 SUSY gauge theories on S^4, including new explicit formulas for key observables.
Findings
Explicit formulas for partition functions on S^4
Localization methods for supersymmetric path integrals
Expectation values of non-local BPS observables
Abstract
We review exact results in N=2 supersymmetric gauge theories defined on S^4 and its deformation. We first summarize the construction of rigid SUSY theories on curved backgrounds based on off-shell supergravity, then explain how to apply localization principle to supersymmetric path integrals. Closed formulae for partition function as well as expectation values of non-local BPS observables are presented.
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