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arXiv · 2111.00018

Completing $R^4$ using $O(d,d)$

Linus Wulff
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Abstract

The tree-level string effective action is known to contain quartic Riemann terms with coefficient $ζ(3)α'^3$. In the case of the type II string this is the first $α'$ correction. We use the requirement that the action reduced on a $d$-torus should have an $O(d,d)$ symmetry to find the B-field couplings up to fifth order in fields. The answer turns out to have a surprisingly intricate structure.

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Linus Wulff. 2022-08-17. Completing $R^4$ using $O(d,d)$. https://doi.org/10.1007/jhep08(2022)187

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