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Families of gauge conditions in BV formalism

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Author(s):
Mikhailov, Andrei ; Schwarz, Albert
Total Authors: 2
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 7, p. 25-pg., 2017-07-13.
Abstract

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. (AU)

FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support Opportunities: Research Projects - Thematic Grants