Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions

Details Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions

1999-01-06

arxiv.org/abs/hep-th/9901020v2

Nucl.Phys. B559 (1999) 277-300

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, harvmac; Appendix about regularization included; Final version to appear in NPB

Scientific paper

10.1016/S0550-3213(99)00408-3

We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting of genus g curves with g nodes on the K3 of the dual F-theory side. We present closed expressions for world-sheet tau-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R^2 term.

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