Generalized metric formulation of double field theory

The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple formulation with manifest T-duality of the double field theory...

Full description

Bibliographic Details
Main Authors: Hohm, Olaf, Hull, Chris, Zwiebach, Barton
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: Springer Berlin / Heidelberg 2011
Online Access:http://hdl.handle.net/1721.1/63186
https://orcid.org/0000-0001-6504-3210
Description
Summary:The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple formulation with manifest T-duality of the double field theory that describes the massless sector of closed strings. The gauge transformations are written in terms of a generalized Lie derivative whose commutator algebra is defined by a double field theory extension of the Courant bracket.