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arXiv · 1912.01700

Green-Schwarz Mechanism for String Dualities

Camille Eloy·Olaf Hohm·Henning Samtleben
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Abstract

We determine the complete spacetime action to first order in $α'$ for the massless fields of bosonic string theory compactified on a $d$-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal form in which all fields apart from the metric enter only with first-order derivatives. T-duality implies that this action must have a global $\mathrm{O}(d,d,\mathbb{R})$ symmetry, and we show that this requires a Green-Schwarz type mechanism for $α'$-deformed $\mathrm{O}(d,d,\mathbb{R})$ transformations. In terms of a frame formalism with ${\rm GL}(d)\times {\rm GL}(d)$ gauge symmetry this amounts to a modification of the three-form curvature by a Chern-Simons term for composite gauge fields.

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Camille Eloy, Olaf Hohm, Henning Samtleben. 2020-03-09. Green-Schwarz Mechanism for String Dualities. https://doi.org/10.1103/physrevlett.124.091601

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