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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Integration over families of Lagrangian submanifolds in BV formalism

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Author(s):
Mikhailov, Andrei
Total Authors: 1
Document type: Journal article
Source: Nuclear Physics B; v. 928, p. 107-159, MAR 2018.
Web of Science Citations: 1
Abstract

Gauge fixing is interpreted in BV formalism as a choice of Lagrangian submanifold in an odd symplectic manifold (the BV phase space). A natural construction defines an integration procedure on families of Lagrangian submanifolds. In string perturbation theory, the moduli space integrals of higher genus amplitudes can be interpreted in this way. We discuss the role of gauge symmetries in this construction. We derive the conditions which should be imposed on gauge symmetries for the consistency of our integration procedure. We explain how these conditions behave under the deformations of the worldsheet theory. In particular, we show that integrated vertex operator is actually an inhomogeneous differential form on the space of Lagrangian submanifolds. (C) 2018 Published by Elsevier B.V. (AU)

FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support type: Research Projects - Thematic Grants
FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants