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arXiv · hep-th/9611176

Exact Gravitational Threshold Correction in the FHSV Model

Jeffrey A. Harvey·Gregory Moore
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Abstract

We consider the automorphic forms which govern the gravitational threshold correction $F_1$ in models of heterotic/IIA duality with N=2 supersymmetry in four dimensions. In particular we derive the full nonperturbative formula for $F_1$ for the dual pair originally considered by Ferrara, Harvey, Strominger and Vafa (FHSV). The answer involves an interesting automorphic product constructed by Borcherds which is associated to the ``fake Monster Lie superalgebra.'' As an application of this result we rederive a result of Jorgenson & Todorov on determinants of $\bar \partial$ operators on $K3$ surfaces.

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Jeffrey A. Harvey, Gregory Moore. 1996-11-22. Exact Gravitational Threshold Correction in the FHSV Model. https://doi.org/10.1103/physrevd.57.2329

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