I was heard (by an expert) that, in mirror symmetry, we have constructed a Quantum Master Equation associated to topological B model, and a solution to it. But I can't find any material about this. Is there anyone know anything about this, so you can give me some help? Is that Kontsevich and Bananikov's paper (for genus 0 topological B model on CalabiYau)?? And is the sullivan's paper "Sigma model and string topology" related to this to some extent?(but I can't see what the useness is of this one).Thank you very much for your help!
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This is the subject of this paper by Kevin Costello  he constructs a solution to a master equation associated to a CalabiYau category, which one could take to be the category of branes in the topological Bmodel. (See the article for references to work of Sen and Zwiebach in the physics literature). String topology can be thought of as a kind of simplified Bmodel, so Sullivan's paper is also related I presume but haven't looked.. 

