SU(N) Skyrmions from Instantons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, to appear in Nonlinearity

Scientific paper

10.1088/0951-7715/13/4/312

Atiyah and Manton have outlined a scheme to obtain approximations to the SU(2) skyrmions from instantons in $\R^4$. In this paper we apply this scheme to construct, in an explicit form, approximations to static spherically symmetric SU(N) skyrmions with various baryon numbers. In particular we show how to obtain the skyrmions from instantons using harmonic maps into complex projective spaces.

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