Double field theory
Name
Zwiebach_Double field theory.pdf
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492 KB
Format
Adobe PDF
Checksum (MD5)
ef70aa2a99b7d737f858b19723fa4fbe
Author(s)
Hull, Chris
Zwiebach, Barton
Date Issued
September 2009
Journal
Journal of High Energy Physics
Publisher
IOP Publishing
Citation
Hull, Chris, and Barton Zwiebach. “Double Field Theory.” Journal of High Energy Physics 2009, no. 09 (September 23, 2009): 099–099.
Version
Original manuscript
Abstract
The zero modes of closed strings on a torus — the torus coordinates plus dual coordinates conjugate to winding number — parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled torus. We use string field theory to construct a theory of massless fields on the doubled torus. Key to the consistency is a constraint on fields and gauge parameters that arises from the L[subscript 0]−[bar over L][subscript 0] = 0 condition in closed string theory. The symmetry of this double field theory includes usual and `dual diffeomorphisms', together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates. We find that, along with gravity, a Kalb-Ramond field and a dilaton must be added to support both usual and dual diffeomorphisms. We construct a fully consistent and gauge invariant action on the doubled torus to cubic order in the fields. We discuss the challenges involved in the construction of the full nonlinear theory. We emphasize that the doubled geometry is physical and the dual dimensions should not be viewed as an auxiliary structure or a gauge artifact.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1088/1126-6708/2009/09/099
