Mikhailov, Andrei [UNESP]Schwarz, Albert2018-11-262018-11-262017-07-13Journal Of High Energy Physics. New York: Springer, n. 7, 25 p., 2017.1029-8479http://hdl.handle.net/11449/163014In BV formalism we can consider a Lagrangian submanifold as a gauge condition. Starting with the BV action functional we construct a closed form on the space of Lagrangian submanifolds. If the action functional is invariant with respect to some group H and Lambda is an H-invariant family of Lagrangian submanifold then under certain conditions we construct a form on Lambda that descends to a closed form on Lambda/H. Integrating the latter form over a cycle in Lambda/H we obtain numbers that can have interesting physical meaning. We show that one can get string amplitudes this way. Applying this construction to topological quantum field theories one obtains topological invariants.25engBRST QuantizationGauge SymmetryTopological StringsArtigo10.1007/JHEP07(2017)063WOS:000405919900002Acesso abertoWOS000405919900002.pdf