Skip to main content

Symmetries in shifted Poisson geometry and BV quantization

Posted in
Speaker: 
Owen Gwilliam
Zugehörigkeit: 
MPIM Bonn
Datum: 
Fre, 09/03/2018 - 09:30 - 10:30
Location: 
MPIM Lecture Hall

The abstract structure of the Batalin-Vilkovisky formalism is nicely captured in operadic language, so that 1-shifted Poisson algebras encode the algebra of classical theories and BD algebras encode the algebra of quantum theories. We explain this language and then discuss what it means for a Lie algebra (or higher versions) to act on such algebras. Our primary aim is then to extract consequences at the level of factorization algebras for field theories. A version of Noether's first theorem appears at the classical level, and its BV quantization recovers Ward-Takahashi identities, all reinterpreted as maps of factorization algebras. We also hope to discuss examples from chiral conformal field theory, such as the action of the Virasoro algebra on well-known chiral algebras.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A