Renormalization of Lorentz non-invariant actions and manifest T-duality

Abstract

We study general two-dimensional sigma-models which do not possess manifest Lorentz invariance. We show how demanding that Lorentz invariance is recovered as an emergent on-shell symmetry constrains these sigma-models. The resulting actions have an underlying group-theoretic structure and resemble Poisson-Lie T-duality invariant actions. We consider the one-loop renormalization of these models and show that the quantum Lorentz anomaly is absent. We calculate the running of the couplings in general and show, with certain non-trivial examples, that this agrees with that of the T-dual models obtained classically from the duality invariant action. Hence, in these cases solving constraints before and after quantization are commuting operations.

V2: reference added, version to appear in Nucl. Phys. B

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• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
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