Renormalization of a Lorentz invariant doubled worldsheet theory
arXiv:1308.4418
Abstract
Manifestly T-duality covariant worldsheet string models can be constructed by doubling the coordinate fields. We describe the underlying gauge symmetry of a recently proposed Lorentz invariant doubled worldsheet theory that makes half of the worldsheet degrees of freedom redundant. By shifting the Lagrange multiplier, that enforces the gauge fixing condition, the worldsheet action can be cast into various guises. We investigate the renormalization of this theory using a non-linear background / quantum split by employing a normal coordinate expansion adapted to the gauge-fixed theory. The propagator of the doubled coordinates contains a projection operator encoding that half of them do not propagate. We determine the doubled target space equations of motion by requiring one-loop Weyl invariance. Some of them are generalizations of the conventional sigma model beta-functions, while others seem to be novel to the doubled theory: In particular, a dilaton equation seems related to the strong constraint of double field theory. However, the other target space field equations are not identical to those of double field theory.
32 pages; v2: motivation and discussion expanded, references added
References in corpus (10)
- Double Field Theory
- Doubled Geometry and T-Folds
- Doubled α'-Geometry
- Background Field Equations for the Duality Symmetric String
- Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
- Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
- Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
- Duality Symmetric String and M-Theory
- Non-geometric Backgrounds and the First Order String Sigma Model
- A Lorentz invariant doubled worldsheet theory