Connecting T-duality invariant theories

Details Connecting T-duality invariant theories Connecting T-duality invariant theories

2011-06-09

arxiv.org/abs/1106.1888v2

Nuclear Physics, Section B 854 (2012) 575-591

Physics

High Energy Physics

High Energy Physics - Theory

25 pages. v2: published version with minor corrections

Scientific paper

10.1016/j.nuclphysb.2011.09.008

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.

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