Fivebrane instantons and higher derivative couplings in type I theory

Details Fivebrane instantons and higher derivative couplings in type I theory Fivebrane instantons and higher derivative couplings in type I theory

1999-10-18

arxiv.org/abs/hep-th/9910144v2

Nucl.Phys. B573 (2000) 335-348

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, corrected some typos. Version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00741-5

We express the infinite sum of D-fivebrane instanton corrections to ${\cal R}^2$ couplings in ${\cal N}=4$ type I string vacua, in terms of an elliptic index counting 1/2-BPS excitations in the effective $Sp(N)$ brane theory. We compute the index explicitly in the infrared, where the effective theory is argued to flow to an orbifold CFT. The form of the instanton sum agrees completely with the predicted formula from a dual one-loop computation in type IIA theory on $K3\times T^2$. The proposed CFT provides a proper description of the whole spectrum of masses, charges and multiplicities for 1/2- and 1/4- BPS states, associated to bound states of D5-branes and KK momenta. These results are applied to show how fivebrane instanton sums, entering higher derivative couplings which are sensitive to 1/4-BPS contributions, also match the perturbative results in the dual type IIA theory.

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