Degeneration of ALF D_n Metrics
High Energy Physics - Theory
2014-11-18 v3
Abstract
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 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 metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.
Cite
@article{arxiv.hep-th/9812212,
title = {Degeneration of ALF D_n Metrics},
author = {G. Chalmers and M. Rocek and S. Wiles},
journal= {arXiv preprint arXiv:hep-th/9812212},
year = {2014}
}
Comments
14 pages, 7 figures, LaTeX, minor corrections, to appear in JHEP