Towards equivariant Yang-Mills theory

18.04.2023 15:30 – 16:30

A general formalism for dealing with the equivariant extensions of the solution of the Classical Master Equation in the Batalin-Vilkovisky geometry is presented. As usual, the AKSZ construction gives a class of particularly simple and relevant examples. The BV pushforward is a procedure introduced by A. Losev that frames in the BV context the idea of Wilson renormalization in QFT that defines the effective action by integrating over the ultraviolet fields. I will discuss how it adapts to the equivariant case and discuss the example of the Donaldson-Witten theory in four dimensions and its relation with Yang-Mills theory. This talk is based on papers written in collaboration with A. Cattaneo, J. Qiu and M. Zabzine.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre