The MV formalism for IBL$_infty$- and BV$_infty$-algebras

0476001 - MÚ 2018 RIV NL eng J - Článek v odborném periodiku
Markl, Martin - Voronov, A.A.
The MV formalism for IBL$_infty$- and BV$_infty$-algebras.
Letters in Mathematical Physics. Roč. 107, č. 8 (2017), s. 1515-1543. ISSN 0377-9017. E-ISSN 1573-0530
Institucionální podpora: RVO:67985840
Klíčová slova: MV-algebra * IBL$_infty$-algebra * master equation
Obor OECD: Applied mathematics
Impakt faktor: 1.306, rok: 2017
https://link.springer.com/article/10.1007/s11005-017-0954-y

We develop a new formalism for the quantum master equation $Delta e^{S/hbar=0$ and the category of IBL$_infty$-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$_infty$-algebras and L$_infty$-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.
Trvalý link: http://hdl.handle.net/11104/0272569