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Membrane and fivebrane instantons from quaternionic geometry

2006/06/27 by Sergei Alexandrov, Frank Saueressig, Stefan Vandoren · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/09/040

published as JHEP0609:040,2006 · 32 pages

arxiv created 2006/06/27 · openalex publication_date 2006/09/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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