D-instantons and matter hypermultiplet
Sergei V. Ketov (Tokyo Metropolitan University)
TL;DR
This paper computes all D-instanton corrections to the quantum moduli space metric of a matter hypermultiplet in type-IIA string theory compactified on a Calabi-Yau threefold, extending known flat spacetime solutions to supergravity.
Contribution
It provides a complete non-perturbative quaternionic hypermultiplet metric in N=2 supergravity with D-instanton effects, generalizing the Ooguri-Vafa solution.
Findings
Derived the non-perturbative metric including all D-instanton contributions.
Resolved a complex orbifold singularity to obtain the hypermultiplet metric.
Extended flat spacetime solutions to supergravity context.
Abstract
We calculate the D-instanton corrections (with all D-instanton numbers) to the quantum moduli space metric of a single matter hypermultiplet with toric isometry, in the effective N=2 supergravity arising in type-IIA superstrings compactified on a Calabi-Yau (CY) threefold of Hodge number h_{2,1}=1. The non-perturbative quaternionic hypermultiplet metric is derived by resolution of a complex orbifold singularity, thus generalizing the known (Ooguri-Vafa) solution in flat spacetime to N=2 supergravity.
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