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arXiv · 2103.15931

Beta functions for the duality-invariant sigma model

Roberto Bonezzi·Tomas Codina·Olaf Hohm
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Abstract

The $O(d,d)$ invariant worldsheet theory for bosonic string theory with $d$ abelian isometries is employed to compute the beta functions and Weyl anomaly at one-loop. We show that vanishing of the Weyl anomaly coefficients implies the equations of motion of the Maharana-Schwarz action. We give a self-contained introduction into the required techniques, including beta functions, the Weyl anomaly for two-dimensional sigma models and the background field method. This sets the stage for a sequel to this paper on generalizations to higher loops and $\alpha'$ corrections.

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Roberto Bonezzi, Tomas Codina, Olaf Hohm. 2021-03-29. Beta functions for the duality-invariant sigma model. https://doi.org/10.1007/jhep10(2021)192

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