Quantum geometry of the universal hypermultiplet
Identifieur interne : 000415 ( Main/Exploration ); précédent : 000414; suivant : 000416Quantum geometry of the universal hypermultiplet
Auteurs : Sergei V. Ketov [États-Unis]Source :
- Fortschritte der Physik [ 0015-8208 ] ; 2002-09.
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 Painlevé VI equation.
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DOI: 10.1002/1521-3978(200209)50:8/9<909::AID-PROP909>3.0.CO;2-J
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