Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Owen Gwilliam
Affiliation:

MPIM Bonn
Date:

Fri, 2018-03-09 09:30 - 10:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7958