The O_{D,D} Geometry of String Theory

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.

26 pages, latex, v2 typos corrected and references added

References in corpus (15)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• The E_{11} origin of all maximal supergravities
• Double Field Theory Formulation of Heterotic Strings
• Background Field Equations for the Duality Symmetric String
• Frame-like Geometry of Double Field Theory
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Double field formulation of Yang-Mills theory
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Local E(11)

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