Families of gauge conditions in BV formalism
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In 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.
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BRST Quantization, Gauge Symmetry, Topological Strings
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Inglês
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Journal Of High Energy Physics. New York: Springer, n. 7, 25 p., 2017.
