Tree-level $R^4$ correction from $O(d,d)$: NS-NS five-point terms

Linus Wulff

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arXiv · 2406.15240

Tree-level $R^4$ correction from $O(d,d)$: NS-NS five-point terms

Linus Wulff

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Abstract

The tree-level string effective action reduced from $D$ to $D-d$ dimensions possesses a continuous $O(d,d)$ symmetry, closely related to T-duality. A necessary condition for a higher derivative correction to preserve this symmetry is that certain $O(d,d)$ violating terms which appear in the dimensional reduction have to cancel out. We use this idea to complete the quartic Riemann correction with all terms involving five NS-NS sector fields. The resulting Lagrangian is considerably simpler than expressions that have previously appeared in the literature.

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Linus Wulff. 2024-06-21. Tree-level $R^4$ correction from $O(d,d)$: NS-NS five-point terms. https://arxiv.org/abs/2406.15240

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