Exact Gravitational Threshold Correction in the FHSV Model

Details Exact Gravitational Threshold Correction in the FHSV Model Exact Gravitational Threshold Correction in the FHSV Model

1996-11-22

arxiv.org/abs/hep-th/9611176v1

Phys.Rev. D57 (1998) 2329-2336

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, harvmac, no figures

Scientific paper

10.1103/PhysRevD.57.2329

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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