Instantons from quaternionic geometry Auteur(s): Alexandrov S.
Conférence invité: "Affine Hecke algebras, the Langlands program, conformal field theory and matrix models (Lumini, FR, 2006-07-03) Ref HAL: hal-00285448_v1 Exporter : BibTex | endNote Résumé: 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. |