The spacetime of double field theory: Review, remarks, and outlook
Name
Zwiebach_The spacetime.pdf
Size
508.05 KB
Format
Adobe PDF
Checksum (MD5)
b8e61330900200dffc74f8c762edde3c
Author(s)
Hohm, Olaf
Zwiebach, Barton
Lust, D.
Date Issued
October 2013
Journal
Fortschritte der Physik
Publisher
Wiley Blackwell
Citation
Hohm, O., D. Lust, and B. Zwiebach. “The Spacetime of Double Field Theory: Review, Remarks, and Outlook.” Fortschr. Phys. 61, no. 10 (October 1, 2013): 926–966.
Version
Author's final manuscript
Abstract
We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T-duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half-dimensional subspace, DFT includes ‘generalized geometry’, but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T-fold backgrounds with non-geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;ℤ) monodromy transformations. Finally we review recent results on the α[superscript ′] extension of DFT which, reduced to the half-dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1002/prop.201300024
