Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-09-19
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, fixed typos and small clarifications added
Scientific paper
We reformulate the algebraic structure of Zwiebach's quantum open-closed string field theory in terms of homotopy algebras. We call it the quantum open-closed homotopy algebra (QOCHA) which is the generalization of the open-closed homotopy algebra (OCHA) of Kajiura and Stasheff. The homotopy formulation reveals new insights about deformations of open string field theory by closed string backgrounds. In particular, deformations by Maurer Cartan elements of the quantum closed homotopy algebra define consistent quantum open string field theories.
Muenster Korbinian
Sachs Ivo
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