BV quantization of noncommutative field theories

Richard Szabo (Heriot-Watt U, Edinburgh)

Aug 17. 2022, 15:30 — 16:30

We apply the modern Batalin-Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional case of fuzzy spaces. We further develop a generalization of this framework to theories that are equivariant under a triangu- lar Hopf algebra symmetry, which in particular leads to quantizations of finite-dimensional analogs of the field theories proposed recently through the notion of braided homotopy algebras. The techniques are illustrated by computing perturbative correlation functions for scalar field theories on the fuzzy 2-sphere, as well as for braided scalar field theories on the fuzzy 2-torus.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)