Twistor Approach to String Compactifications: a Review

Details Twistor Approach to String Compactifications: a Review Twistor Approach to String Compactifications: a Review

2011-11-12

arxiv.org/abs/1111.2892v2

Physics

High Energy Physics

High Energy Physics - Theory

98 pages; minor corrections

Scientific paper

We review a progress in obtaining the complete non-perturbative effective action of type II string theory compactified on a Calabi-Yau manifold. This problem is equivalent to understanding quantum corrections to the metric on the hypermultiplet moduli space. We show how all these corrections, which include D-brane and NS5-brane instantons, are incorporated in the framework of the twistor approach, which provides a powerful mathematical description of hyperkahler and quaternion-Kahler manifolds. We also present new insights on S-duality, quantum mirror symmetry, connections to integrable models and topological strings.

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