The MV formalism for IBL - and BV -algebras

Martin Markl, Alexander A Voronov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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
Issue number8
StatePublished - Aug 1 2017


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

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