On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
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.
Cite
@article{arxiv.2302.12117,
title = {On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential},
author = {Manki Kim},
journal= {arXiv preprint arXiv:2302.12117},
year = {2023}
}
Comments
v2: minor errors fixed. v3: additional check provided by comparing to the known R^4 term. v5: normalization of PCO fixed. v6: matches JHEP version. Discussions expanded. v7: minor errors fixed