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arXiv · 2110.13163

Dimensional reduction of higher derivative heterotic supergravity

Hao-Yuan Chang·Ergin Sezgin·Yoshiaki Tanii
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Abstract

Higher derivative couplings of hypermultiplets to $6D, N=(1,0)$ supergravity are obtained from dimensional reduction of 10D heterotic supergravity that includes order $α'$ higher derivative corrections. Reduction on $T^4$ is followed by a consistent truncation. In the resulting action the hyperscalar fields parametrize the coset $SO(4,4)/(SO(4)\times SO(4))$. While the $SO(4,4)$ symmetry is ensured by Sen's construction based on string field theory, its emergence at the field theory level is a nontrivial phenomenon. A number of field redefinitions in the hypermultiplet sector are required to remove several terms that break the $SO(4)\times SO(4)$ down to its $SO(4)$ diagonal subgroup in the action and the supersymmetry transformation rules. Working with the Lorentz Chern-Simons term modified 3-form field strength, where the spin connection has the 3-form field strength as torsion, is shown to simplify considerably the dimensional reduction.

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Hao-Yuan Chang, Ergin Sezgin, Yoshiaki Tanii. 2021-12-20. Dimensional reduction of higher derivative heterotic supergravity. https://doi.org/10.1007/jhep03(2022)081

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