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

Source: [Renormalization of Lorentz non-invariant actions and manifest T-duality](<https://www.sota2.com/research/paper/68fa28e21e209131ce82f720>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:58.399Z

Authors: K. Sfetsos, K. Siampos, Daniel C. Thompson

Published: 2009-10-07T19:56:48.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0910.1345>)

[PDF](<https://arxiv.org/pdf/0910.1345.pdf>)