Quantum geometry of the universal hypermultiplet
Abstract
The universal hypermultiplet moduli space metric in the type-IIA superstring theory compactified on a Calabi-Yau threefold is related to integrable systems. The instanton corrections in four dimensions arise due to multiple wrapping of BPS membranes and fivebranes around certain (supersymmetric) cycles of Calabi-Yau. The exact (non-perturbative) metrics can be calculated in the special cases of (i) the D-instantons (or the wrapped D2-branes) in the absence of fivebranes, and (ii) the fivebrane instantons with vanishing charges, in the absence of D-instantons. The solutions of the first type are governed by the three-dimensional Toda equation, whereas the solutions of the second type are governed by the particular Painleve VI equation.
Keywords
Cite
@article{arxiv.hep-th/0111080,
title = {Quantum geometry of the universal hypermultiplet},
author = {Sergei V. Ketov},
journal= {arXiv preprint arXiv:hep-th/0111080},
year = {2015}
}
Comments
6 pages, LaTeX; invited talk at the RTN meeting, Corfu, September 2001