The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, no figures, LaTeX2e

Scientific paper

10.1142/S0217732304013672

It is shown that the SO(3) isometries of the Euclidean Taub-NUT space combine
a linear three-dimensional representation with one induced by a SO(2) subgroup,
giving the transformation law of the fourth coordinate under rotations. This
explains the special form of the angular momentum operator on this manifold
which leads to a new type of spherical harmonics and spinors.

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