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arXiv · 2302.12117

On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential

Manki Kim
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Abstract

To compute the string one-loop correction to the Kahler potential of moduli fields of string compactifications in Einstein-frame, one must compute: the string one-loop correction to the Einstein-Hilbert action, the string one-loop correction to the moduli kinetic terms, the string one-loop correction to the definition of the holomorphic coordinates. In this note, we compute the string one-loop correction to the Einstein-Hilbert action of type II string theory compactified on orientifolds of Calabi-Yau threefolds. We find that the one-loop correction is determined by the new supersymmetric index studied by Cecotti, Fendley, Intriligator, and Vafa. As a simple application, we apply our results to estimate the size of the one-loop corrections around a conifold point in the Kahler moduli space.

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Manki Kim. 2023-02-23. On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential. https://doi.org/10.1007/jhep07(2023)044

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