1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories

Details 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories

1999-07-15

arxiv.org/abs/hep-th/9907133v3

Adv.Theor.Math.Phys. 3 (1999) 1539-1574

Physics

High Energy Physics

High Energy Physics - Theory

32 p, harvmac, 1 fig. Revision: taking the fermionic contractions into account, the K3 elliptic genus disappears

Scientific paper

We compute certain 2K+4-point, one-loop couplings in the type IIA string compactified on K3 x T^2, which are related to a topological index on this manifold. Their special feature is that they are sensitive to only short and intermediate BPS multiplets. The couplings derive from underlying prepotentials G[K](T,U), which can be nicely summed up into a fundamental generating function. In the dual heterotic string on T^6, the amplitudes describe non-perturbative gravitational corrections to K-loop amplitudes due to bound states of fivebrane instantons with heterotic world-sheet instantons. We argue, as a consequence, that our results also give information about instanton configurations in six dimensional Sp(2k) gauge theories on T^6.

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