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The Nilpotent Structure of Open-Closed String Field Theory
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In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed coderivation which defines a single nilpotent structure describing the consistency of generic open-closed color-ordered off-shell amplitudes with arbitrary number of boundaries and at arbitrary genus.
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Universal quadratic field equations via homotopy algebras
The bar-cobar construction turns the equations of motion of any homotopy-algebra gauge theory into universal quadratic Maurer-Cartan equations, with solutions equivalent to the original theory.
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