PIRSA:17010004 Scientific Series Mathematical physics

DOI10.48660/17010004

Series: Mathematical Physics

Rozenblyum, N. (2017). BV formalism and derived symplectic geometry. Perimeter Institute. https://pirsa.org/17010004

Rozenblyum, Nikita. BV formalism and derived symplectic geometry. Perimeter Institute, Jan. 16, 2017, https://pirsa.org/17010004 

@misc{ pirsa_PIRSA:17010004,
  doi = {10.48660/17010004},
  url = {https://pirsa.org/17010004},
  author = {Rozenblyum, Nikita},
  keywords = {Mathematical physics},
  language = {en},
  title = {BV formalism and derived symplectic geometry},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jan},
  note = {PIRSA:17010004 see, \url{https://pirsa.org}}
}

Abstract

We will describe a formulation of the Batalin-Vilkovisky formalism using derived symplectic geometry.  In this setting, the classical master equation of the BV formalism describes a space of coisotropic structures.  Using this approach, we resolve a conjecture of Felder-Kazhdan regarding BRST cohomology.  Time permitting, we will also describe applications of these ideas to more general quantization problems.

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