Spherically symmetric self-dual Yang-Mills instantons on curved backgrounds in all even dimensions

Eugen Radu, D. H. Tchrakian, Yisong Yang

Research output: Contribution to journalArticle

Abstract

We present several different classes of self-dual Yang-Mills instantons in all even d-dimensional backgrounds with Euclidean signature. In d=4p+2 the only solutions we found are on constant curvature dS (de Sitter) and AdS (anti-de Sitter) backgrounds and are evaluated in closed form. In d=4p an interesting class of instantons are given on black hole backgrounds. One class of solutions are (Euclidean) time-independent and spherically symmetric in d-1 dimensions, and the other class are spherically symmetric in all d dimensions. Some of the solutions in the former class are evaluated numerically, all the rest being given in closed form. Analytic proofs of existence covering all numerically evaluated solutions are given. All instantons studied have finite action and vanishing energy momentum tensor and do not disturb the geometry.

Original languageEnglish (US)
Article number044017
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number4
DOIs
StatePublished - Feb 12 2008

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Yang-Mills
Instantons
instantons
Euclidean
Closed-form
Energy-momentum Tensor
Black Holes
coverings
Covering
Signature
kinetic energy
Curvature
curvature
signatures
Class
Background
tensors
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Spherically symmetric self-dual Yang-Mills instantons on curved backgrounds in all even dimensions. / Radu, Eugen; Tchrakian, D. H.; Yang, Yisong.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 4, 044017, 12.02.2008.

Research output: Contribution to journalArticle

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