Generalized metric formulation of double field theory

Abstract

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.

36 pages, v2: minor corrections

References in corpus (4)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized complex geometry
• Generalized E(7(7)) coset dynamics and D=11 supergravity

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