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Gravitational couplings in N=2 string compactifications and Mathieu Moonshine

Chattopadhyaya, Aradhita and David, Justin R (2018) Gravitational couplings in N=2 string compactifications and Mathieu Moonshine. In: JOURNAL OF HIGH ENERGY PHYSICS (5).

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Official URL: https://dx.doi.org/10.1007/JHEP05(2018)211

Abstract

We evaluate the low energy gravitational couplings, F-g in the heterotic E-8 x E-8 string theory compactified on orbifolds of K3 x T-2 by g' which acts as a Z(N) automorphism on K3 together with a 1/N shift along T-2. The orbifold corresponds to the conjugacy classes of the Mathieu group M-24. The holomorphic piece of F-g is given in terms of a poly logarithm with index 3-2g and predicts the Gopakumar-Vafa invariants in the corresponding dual type II Calabi-Yau compactifications. We show that low lying Gopakumar-Vafa invariants for each of these compactifications including the twisted sectors are integers. We observe that the conifold singularity for all these compactifications occurs only when states in the twisted sectors become massless and the strength of the singularity is determined by the genus zero Gopakumar-Vafa invariant at this point in the moduli space.

Item Type: Journal Article
Additional Information: Copy right of this article belong to SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 26 Jun 2018 15:59
Last Modified: 26 Jun 2018 15:59
URI: http://eprints.iisc.ac.in/id/eprint/60090

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