Title: The MV formalism for ${\rm IBL}_\infty$- and ${\rm BV}_\infty$-algebras
Abstract:We develop a new formalism for the Quantum Master Equation $\Delta e^{S/\hbar} = 0$ and the category of ${\rm IBL}_\infty$-algebras and simplify some homotopical algebra arising in the context of orie...We develop a new formalism for the Quantum Master Equation $\Delta e^{S/\hbar} = 0$ and the category of ${\rm IBL}_\infty$-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 ${\rm IBL}_\infty$-algebras and ${\rm L}_\infty$-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.Read More
Publication Year: 2015
Publication Date: 2015-11-05
Language: en
Type: preprint
Access and Citation
Cited By Count: 1
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot