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arXiv · 2007.07902

Quantum correction to generalized T-dualities

Riccardo Borsato·Linus Wulff
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Abstract

Poisson-Lie duality is a generalization of abelian and non-abelian T-duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e. at the (super)gravity level. We show that this fact extends to the next order in $\alpha'$ (two loops in $\sigma$-model perturbation theory) provided that the map is corrected. The $\alpha'$-correction to the map is induced by the anomalous Lorentz transformations of the fields that are necessary to go from a doubled $O(D,D)$-covariant formulation to the usual (super)gravity description.

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Riccardo Borsato, Linus Wulff. 2020-07-15. Quantum correction to generalized T-dualities. https://doi.org/10.1103/physrevlett.125.201603

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