Families of gauge conditions in BV formalism

• Autor(a) principal: Mikhailov, Andrei [UNESP]
• Data de Publicação: 2017
• Outros Autores: Schwarz, Albert
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP07(2017)063; http://hdl.handle.net/11449/163014
• topic: BRST Quantization; Gauge Symmetry; Topological Strings

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.