A HIERARCHY OF GAUGED GRASSMANIAN MODELS IN $4p$ DIMENSIONS WITH SELF-DUAL INSTANTONS

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex file, 13 pages

Scientific paper

10.1016/0370-2693(95)00487-6

We present a hierarchy of gauged Grassmanian models in $4p$ dimensions, where the gauge field takes its values in the $2^{2p- 1}\times 2^{2p-1}$ chiral representation of SO(4p). The actions of all these models are absolutely minimised by a hierarchy of self-duality equations, all of which reduce to a single pair of coupled ordinary differential equations when subjected to $4p$ dimensional spherical symmetry.

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