On string one-loop correction to the Einstein-Hilbert term and its implications on the Kähler potential
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Publication:6055634
DOI10.1007/JHEP07(2023)044arXiv2302.12117OpenAlexW4383498031MaRDI QIDQ6055634
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Publication date: 29 September 2023
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2302.12117
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