Non-Perturbative Gravitational Corrections in a Class of N=2 String Duals

Abstract

We investigate the non-perturbative equivalence of some heterotic/type II dual pairs with N=2 supersymmetry. The perturbative heterotic scalar manifolds are respectively SU(1, 1)/U(1) x SO(2, 2+NV)/ SO(2) x SO(2+NV) and SO(4, 4+NH)/ SO(4) x SO(4+NH) for moduli in the vector multiplets and hypermultiplets. The models under consideration correspond, on the type II side, to self-mirror Calabi-Yau threefolds with Hodge numbers h(1,1)= NV +3= h(2,1)= NH +3, which are K3 fibrations. We consider three classes of dual pairs, with NV=NH=8, 4 and 2. The models with h(1,1)=7 and 5 provide new constructions, while the h(1,1)=11, already studied in the literature, is reconsidered here. Perturbative R2-like corrections are computed on the heterotic side by using a universal operator whose amplitude has no singularities in the (T,U) space, and can therefore be compared with the type II side result. We point out several properties connecting K3 fibrations and spontaneous breaking of the N=4 supersymmetry to N=2. As a consequence of the reduced S- and T- duality symmetries, the instanton numbers in these three classes are restricted to integers, which are multiples of 2, 2 and 4, for NV=8, 4 and 2, respectively.

24 pages, latex, no figures, typos and minor misprints corrected, references added

References in corpus (5)

• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• Introduction to Superstring Theory
• Heterotic / type I duality and D-brane instantons
• R^2 Corrections and Non-perturbative Dualities of N=4 String ground states
• BPS States in N=3 Superstrings

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• On walls of marginal stability in N=2 string theories
• An Entropy-Weighted Sum over Non-Perturbative Vacua
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• String-String triality for d=4, Z_2 orbifolds
• Combinatorics, observables, and String Theory: part II
• The superstring representation of the universe of codes
• The d=6, N=1 heterotic string does not "live" in six dimensions
• Type IIB orbifolds with D5-branes and their string duals