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Double metric, generalized metric, and α′-deformed double field theory

Olaf Hohm* and Barton Zwiebach†

  • Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *ohohm@mit.edu
  • †zwiebach@mit.edu
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Phys. Rev. D 93, 064035 – Published 10 March, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.064035

Abstract

We relate the unconstrained “double metric” of the “α′-geometry” formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field components of the double metric in an iterative procedure that induces an infinite number of higher-derivative corrections. As an application, we prove that, to first order in α′ and to all orders in fields, the deformed gauge transformations are Green-Schwarz–deformed diffeomorphisms. We also prove that to first order in α′ the spacetime action encodes precisely the Green-Schwarz deformation with Chern-Simons forms based on the torsionless gravitational connection. This seems to be in tension with suggestions in the literature that T-duality requires a torsionful connection, but we explain that these assertions are ambiguous since actions that use different connections are related by field redefinitions.

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References (21)

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Phys. Rev. D 93, 064035– Published 10 March, 2016
  • Received 22 December 2015
Article part of CHORUS

© 2016 American Physical Society

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