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arXiv · 1111.2892

Twistor Approach to String Compactifications: a Review

Sergei Alexandrov
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Abstract

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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Sergei Alexandrov. 2013-05-09. Twistor Approach to String Compactifications: a Review. https://doi.org/10.1016/j.physrep.2012.09.005

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