Double metric, generalized metric, and α′-deformed double field theory
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PhysRevD.93.064035.pdf
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195.59 KB
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Author(s)
Hohm, Olaf
Zwiebach, Barton
Date Issued
March 2016
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hohm, Olaf, and Barton Zwiebach. "Double metric, generalized metric, and α′-deformed double field theory." Phys. Rev. D 93, 064035 (March 2016). © 2016 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.93.064035
