Modul:   MAT074  Talks in mathematical physics

BV pushforward of topological theories

Talk by Prof. Dr. Francesco Bonechi

Speaker invited by: Prof. Dr. Alberto Cattaneo

Date: 11.12.23  Time: 13.15 - 14.15  Room: Y27H25

The BV pushforward is a simple construction that adapts the idea of integrating the ultraviolet fields in Wilson renormalization to the Batalin–Vilkovisky setting. If one applies it to AKSZ theories, that are topological, one can see interesting relations with physical theories defined in the infra red. After a brief review of basic facts of BV, I will discuss examples of this construction in two dimensions. I will also discuss its application to the equivariant extension of Yang-Mills theory in four dimensions.