N = 2 gauge theories on unoriented/open four-manifolds and their AGT counterparts
ABSTRACT :
Correlation numbers computed for a two-dimensional CFT called Liouville theory are known to be equal to partition functions of N = 2 gauge theories on four-dimensional manifolds. This relationship is known as the AGT correspondence. After summarizing some general notions regarding rigid supersymmetry on curved manifolds, and supersymmetric localization, I will outline how the AGT correspondence extends to N = 2 gauge theories defined on a non-orientable manifold like RP^4 and a manifold-with-boundary hemi-S^4.
This talk is based on the work arXiv:1710.06283 done in collaboration with S. Benvenuti, G. Bonelli, N. Muteeb and A. Tanzini.