The Implicit Metric on a Deformation of the Atiyah-Hitchin Manifold

Details The Implicit Metric on a Deformation of the Atiyah-Hitchin Manifold The Implicit Metric on a Deformation of the Atiyah-Hitchin Manifold

1997-09-11

arxiv.org/abs/hep-th/9709082v3

Phys.Rev. D58 (1998) 125011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, appendix corr

Scientific paper

10.1103/PhysRevD.58.125011

Using twistor methods we derive a generating function which leads to the hyperk\" ahler metric on a deformation of the Atiyah-Hitchin monopole moduli space. This deformation was first considered by Dancer through the quotient construction and is related to a charge two monopole configuration in a completely broken SU(3) gauge theory. The manifold and metric are the first members of a family of hyperk\" ahler manifolds which are deformations of the $D_k$ rational singularities of $C^2$.

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