Heterotic / Type II Triality and Instantons on K 3
نویسندگان
چکیده
A detailed understanding of instanton effects for half-BPS couplings is pursued in theories with 16 supersymmetries. In particular, we investigate the duality between heterotic string on T 4 and type IIA on K3 at the T /Z2 orbifold point, as well as their higher and lower dimensional versions. We present a remarkably clean quantitative test of the duality at the level of F 4 couplings, by completely matching a purely one-loop heterotic amplitude to a purely tree-level type II result. The triality of SO(4, 4) and several other miracles are shown to be crucial for the duality to hold. Exact non-perturbative new results for type I’, F on K3, M on K3, and IIB on K3 are found, and the general form of D-instanton contributions in type IIA or B on T /Z2 is obtained. We also analyze the NS5-brane contributions in type II on K3×T , and predict the value μ(N) = ∑ d|N(1/d ) for the bulk contribution to the index of the NS5-brane world-volume theory on K3 × T .
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