Degeneration of ALF D_n Metrics

Details Degeneration of ALF D_n Metrics Degeneration of ALF D_n Metrics

1998-12-22

arxiv.org/abs/hep-th/9812212v3

JHEP 9901 (1999) 009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 7 figures, LaTeX, minor corrections, to appear in JHEP

Scientific paper

10.1088/1126-6708/1999/01/009

Beginning with the Legendre transform construction of hyperk\"ahler metrics, we analyze the ALF version of the D_n metrics. We determine the constraint equation obtained from extremizing the $w$ coordinate of the generating function F(z,\bar{z},u,\bar{u},w) and study its behavior as we send two of the mass parameters of the $D_n$ metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.

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