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.
Cite
@article{arxiv.1112.0069,
title = {Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity},
author = {Imtak Jeon and Kanghoon Lee and Jeong-Hyuck Park},
journal= {arXiv preprint arXiv:1112.0069},
year = {2012}
}
Comments
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