Quantum geometry of the universal hypermultiplet

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)909-915
Number of pages7
JournalFortschritte der Physik
Volume50
Issue number8-9
DOIs
Publication statusPublished - 2002

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instantons
geometry
metric space
string theory
membranes
cycles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quantum geometry of the universal hypermultiplet. / Ketov, Sergei V.

In: Fortschritte der Physik, Vol. 50, No. 8-9, 2002, p. 909-915.

Research output: Contribution to journalArticle

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