English

Harmonic superpositions of non-extremal p-branes

High Energy Physics - Theory 2009-10-07 v1

Abstract

The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional reduction, which is possible if periodic arrays of p-brane solitons can be constructed. This is straightforward for extremal p-branes, since the no-force condition allows arbitrary multi-centre solutions to be constructed in terms of a general harmonic function on the transverse space. This has also been shown to be possible in the special case of non-extremal black holes in D=4 arrayed along an axis. In this paper, we extend previous results to include multi-scalar black holes, and dyonic black holes. We also consider their oxidation to higher dimensions, and we discuss general procedures for constructing the solutions, and studying their symmetries.

Keywords

Cite

@article{arxiv.hep-th/9702058,
  title  = {Harmonic superpositions of non-extremal p-branes},
  author = {I. V. Lavrinenko and H. Lu and C. N. Pope and T. A. Tran},
  journal= {arXiv preprint arXiv:hep-th/9702058},
  year   = {2009}
}

Comments

Latex, 23 pages