On the completely integrable four-dimensional N = 2 hypermultiplet self-couplings

Details On the completely integrable four-dimensional N = 2 hypermultiplet self-couplings On the completely integrable four-dimensional N = 2 hypermultiplet self-couplings

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.1605s&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 5, pp. 1605-1615 (1999).

Computer Science

4

Scientific paper

Using an adaptation of the Gelfand-Dickey analysis of two-dimensional integrable Hamiltonian systems to the harmonic superspace (HS), we derive a class of completely solvable four-dimensional N = 2 hypermultiplet self-couplings. The known harmonic non-localities are shown to factor out in the HS integrable models. As an illustration, we rederive the Taub-Nut result and obtain a new hyper-Kähler metric associated with a HS superpotential having a pure imaginary coupling constant. A comparison with classes of metrics in the literature is given.

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