English

Connecting T-duality invariant theories

High Energy Physics - Theory 2011-10-27 v2

Abstract

We show that the vanishing of the one-loop beta-functional of the doubled formalism (which describes string theory on a torus fibration in which the fibres are doubled) is the same as the equation of motion of the recently proposed generalised metric formulation of double field theory restricted to this background: both are the vanishing of a generalised Ricci tensor. That this tensor arises in both backgrounds indicates the importance of a new doubled differential geometry for understanding both constructions.

Keywords

Cite

@article{arxiv.1106.1888,
  title  = {Connecting T-duality invariant theories},
  author = {Neil B. Copland},
  journal= {arXiv preprint arXiv:1106.1888},
  year   = {2011}
}

Comments

25 pages. v2: published version with minor corrections

R2 v1 2026-06-21T18:20:11.350Z