Membrane and fivebrane instantons from quaternionic geometry

Abstract

We determine the one-instanton corrections to the universal hypermultiplet moduli space coming both from Euclidean membranes and NS-fivebranes wrapping the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely encoded by a single function characterizing a generic four-dimensional quaternion-Kahler metric without isometries. We give explicit solutions for this function describing all one-instanton corrections, including the fluctuations around the instanton to all orders in the string coupling constant. In the semi-classical limit these results are in perfect agreement with previous supergravity calculations.

32 pages

References in corpus (3)

• String loop corrected hypermultiplet moduli spaces
• Membrane Instantons and de Sitter Vacua
• On de Sitter Vacua in Type IIA Orientifold Compactifications

Cited by in corpus (6)

• D-instantons and twistors
• Quantum mirror symmetry and twistors
• Linear perturbations of Hyperkahler metrics
• Instantons, Hypermultiplets and the Heterotic String
• Supergravity description of spacetime instantons
• Instantons and Wormholes in N=2 supergravity