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arXiv · 2210.16593

T-duality building blocks for $\alpha'$ string corrections

Marina David·James T. Liu
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Abstract

T-duality has been shown to constrain the higher derivative corrections of string theory. We revisit the problem of understanding the T-duality constraints imposed on the $\alpha'$ corrections using the language of a torsionful connection. We find a convenient way to express the $O(d,d)$ invariants in terms of linear combinations of the metric and B-field for general $d$-dimensional torus compactifications, which we then use to revisit the heterotic and bosonic ten-dimensional string action at order $\alpha'$. We also comment on the four-point functions for corrections of order $\alpha'^3$ in the type II string.

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Marina David, James T. Liu. 2022-10-29. T-duality building blocks for $\alpha'$ string corrections. https://doi.org/10.1103/physrevd.107.046008

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