Nonperturbative low-energy effective action of the universal hypermultiplet

Sergei V. Ketov

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arXiv · hep-th/0301074

Nonperturbative low-energy effective action of the universal hypermultiplet

Sergei V. Ketov

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Abstract

The non-perturbative (D-instanton corrected) low-energy effective action of the universal hypermultiplet in the type-IIA string theory compactified on a Calabi-Yau threefold is calculated in 4d, N=2 supergravity. The action is given by the quaternionic non-linear sigma-model whose metric is governed by the Eisenstein series E_{3/2}. The U(1)xU(1) isometry and SL(2,Z) modular invariance play the key role in our construction.

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Sergei V. Ketov. 2003-01-13. Nonperturbative low-energy effective action of the universal hypermultiplet. https://arxiv.org/abs/hep-th/0301074

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