Degeneration of ALF Dn metrics | Zendy

Gordon Chalmers | Zendy; M. Roček | Zendy; Steven Anthony Wiles | Zendy

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Degeneration of ALF D_n metrics

Author(s) -

Gordon Chalmers,

M. Roček,

Steven Anthony Wiles

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/01/009

Subject(s) - metric (unit) , constraint (computer aided design) , limit (mathematics) , legendre polynomials , set (abstract data type) , mathematics , pure mathematics , mathematical analysis , computer science , geometry , engineering , operations management , programming language

Beginning with the Legendre transform construction of hyperk\"ahler metrics,we analyze the ALF version of the D_n metrics. We determine the constraintequation obtained from extremizing the $w$ coordinate of the generatingfunction F(z,\bar{z},u,\bar{u},w) and study its behavior as we send two of themass parameters of the $D_n$ metric to zero. We find that the constraintequation enforces the limit that the metric becomes that of multi-Taub-NUT.Comment: 14 pages, 7 figures, LaTeX, minor corrections, to appear in JHE

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