Modular operads and the quantum open-closed homotopy algebra

Published 14 Aug 2013 in math.AT, math-ph, and math.MP | (1308.3223v2)

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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