The MV formalism for IBL - and BV -algebras

Martin Markl, Alexander A Voronov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We develop a new formalism for the quantum master equation Δ e S / ħ = 0 and the category of IBL -algebras and simplify some homotopical algebra arising in the context of oriented surfaces with boundary. We introduce and study a category of MV-algebras, which, on the one hand, contains such important categories as those of IBL -algebras and L -algebras and, on the other hand, is homotopically trivial, in particular allowing for a simple solution of the quantum master equation. We also present geometric interpretation of our results.

Original languageEnglish (US)
Pages (from-to)1515-1543
Number of pages29
JournalLetters in Mathematical Physics
Volume107
Issue number8
DOIs
StatePublished - Aug 1 2017

Keywords

  • IBL -algebra
  • MV -algebra
  • Master equation
  • Transfer

Fingerprint Dive into the research topics of 'The MV formalism for IBL <sub>∞</sub> - and BV <sub>∞</sub> -algebras'. Together they form a unique fingerprint.

Cite this