Geometry of manifolds in the euclidian space and in the Minkowski space
Clifford algebras, Moufang Loops, G2 structures and deformations
Normal Congruences and Lagrangian submanifolds in spaces of geodesics
| Full text | |
| Author(s): |
Mikhailov, Andrei
Total Authors: 1
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| 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 Opportunities: | 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 Opportunities: | Research Projects - Thematic Grants |