Abstract
We show that the one- and two-loop β-functions of the closed, bosonic string can be written in a manifestly O(D,D)-covariant form. Based on this result, we prove that
1) Poisson-Lie symmetric σ-models are two-loop renormalisable and
2) their β-functions are invariant under Poisson-Lie T-duality.
Moreover, we identify a distinguished scheme in which Poisson-Lie symmetry is manifest. It simplifies the calculation of two-loop β-functions significantly and thereby provides a powerful new tool to advance into the quantum regime of integrable σ-models and generalised T-dualities. As an illustrating example, we present the two-loop β-functions of the integrable λ- and η-deformation.
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Hassler, F., Rochais, T.B. O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality. J. High Energ. Phys. 2021, 210 (2021). https://doi.org/10.1007/JHEP10(2021)210
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DOI: https://doi.org/10.1007/JHEP10(2021)210