Integrable Yang-Mills-Higgs equations in 3-dimensional de Sitter space-time.

Kotecha, V.; Ward, R.S.

doi:10.1063/1.1345499

All Outputs (3)

Hopf solitons from instanton holonomy. (2001)
Journal Article
Ward, R. (2001). Hopf solitons from instanton holonomy. Nonlinearity, 14(6), 1543-1554. https://doi.org/10.1088/0951-7715/14/6/307

The holonomy of an SU(2) N-instanton in the x4-direction gives a map from Bbb R3 into SU(2), which provides a good model of an N-Skyrmion. Combining this map with the standard Hopf map from SU(2)congS3 to S2 gives a configuration for a Hopf soliton o... Read More about Hopf solitons from instanton holonomy..

Skyrmions on the 2-sphere. (2001)
Journal Article
de Innocentis, M., & Ward, R. (2001). Skyrmions on the 2-sphere. Nonlinearity, 14(3), 663-671. https://doi.org/10.1088/0951-7715/14/3/312

We study static solutions of the Skyrme model on the 2-sphere of radius L, for various choices of potential. The high-density Skyrmion phase corresponds to the ratio β = L/(size of Skyrmion) being small, whereas the low-density phase corresponds to β... Read More about Skyrmions on the 2-sphere..

Integrable Yang-Mills-Higgs equations in 3-dimensional de Sitter space-time. (2001)
Journal Article
Kotecha, V., & Ward, R. (2001). Integrable Yang-Mills-Higgs equations in 3-dimensional de Sitter space-time. Journal of Mathematical Physics, 42(3), 1018-1025. https://doi.org/10.1063/1.1345499

This paper describes an integrable Yang–Mills–Higgs system on (2+1)-dimensional de Sitter space–time. It is the curved-space–time analog of the Bogomolnyi equations for monopoles on R3.R3. A number of solutions, of various types, are constructed. Read More about Integrable Yang-Mills-Higgs equations in 3-dimensional de Sitter space-time..