Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity

Abstract

We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms -- two bosonic plus three fermionic -- and manifests not only diffeomorphism and one-form gauge symmetry of B-field, but also O(10,10) T-duality as well as a direct product of two local Lorentz symmetries, SO(1,9) \times SO(9,1). A gauge fixing that identifies the double local Lorentz groups reduces our action to the minimal supergravity in ten dimensions.

Initally submitted to PRL on 28th November 2011. 5+4 pages (Five pages of publication in PRD Rapid Communications plus Four pages of Appendix). v4) Typo in Eq.(34) fixed, Erratum to be published in journal. cf. http://www.newton.ac.uk/programmes/BSM/seminars/021611301.html

References in corpus (21)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Supergravity as Generalised Geometry I: Type II Theories
• Double Field Theory and N=4 Gauged Supergravity
• Differential geometry with a projection: Application to double field theory
• Double Field Theory of Type II Strings
• Stringy differential geometry, beyond Riemann
• SO(5,5) duality in M-theory and generalized geometry
• Unification of Type II Strings and T-duality
• The local symmetries of M-theory and their formulation in generalised geometry
• Double Field Theory Formulation of Heterotic Strings
• Frame-like Geometry of Double Field Theory
• Incorporation of fermions into double field theory
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• Boundary Terms in Generalized Geometry and doubled field theory
• Double field formulation of Yang-Mills theory
• Connecting T-duality invariant theories
• Double Field Theory for Double D-branes
• Equations of Motion in Double Field Theory: From Particles to Scale Factors

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