Modular operads and the quantum open-closed homotopy algebra

2013/08/14 by Martin Doubek, Doubek, Martin, Branislav Jurco +3
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AT #math.MP

paper · pdf · doi:10.48550/arxiv.1308.3223

56 pages, v2: substantially revised exposition

arxiv created 2015/10/01 · arxiv updated 2015/10/02

Abstract

We verify that certain algebras appearing in string field theory are algebras over Feynman transform of modular operads which we describe explicitly. Equivalent description in terms of solutions of generalized BV master equations are explained from the operadic point of view.

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