Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.
Modular operads and the quantum open-closed homotopy algebra
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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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math-ph 1years
2026 1verdicts
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Homotopies in Batalin-Vilkovisky Formalism
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.