The O_{D,D} Geometry of String Theory
High Energy Physics - Theory
2015-06-15 v2
Abstract
We construct an action for double field theory using a metric connection that is compatible with both the generalised metric and the O_{D,D} structure. The connection is simultaneously torsionful and flat. Using this connection one may construct a proper covariant derivative for double field theory. We then write the doubled action in terms of the generalised torsion of this connection. This action then exactly reproduces that required for doubled field theory and gauged supergravity.
Keywords
Cite
@article{arxiv.1303.6727,
title = {The O_{D,D} Geometry of String Theory},
author = {David S. Berman and Chris D. A. Blair and Emanuel Malek and Malcolm J. Perry},
journal= {arXiv preprint arXiv:1303.6727},
year = {2015}
}
Comments
26 pages, latex, v2 typos corrected and references added