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arxiv: 1308.3223 · v2 · pith:DRNSWQX7new · submitted 2013-08-14 · 🧮 math.AT · math-ph· math.MP

Modular operads and the quantum open-closed homotopy algebra

Martin Doubek , Branislav Jurco , Korbinian Muenster This is my paper
classification 🧮 math.AT math-phmath.MP
keywords algebrasmodularoperadsalgebraappearingcertaindescribedescription
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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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  1. Homotopies in Batalin-Vilkovisky Formalism

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    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.