Transverse generalized metrics and 2d sigma models
Differential Geometry
2019-10-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We reformulate the compatibility condition between a generalized metric and a small (non-maximal rank) Dirac structure in an exact Courant algebroid found in the context of the gauging of strings and formulated by means of two connections in purely Dirac-geometric terms. The resulting notion, a transverse generalized metric, is also what is needed for the dynamics on the reduced phase space of a string theory.
Cite
@article{arxiv.1901.08904,
title = {Transverse generalized metrics and 2d sigma models},
author = {Pavol Severa and Thomas Strobl},
journal= {arXiv preprint arXiv:1901.08904},
year = {2019}
}
Comments
6 pages, added: explanations about gauging and a definition of Dirac-Riemannian foliations. Version to be published in the new Letters section of the Journal of Geometry and Physics