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Gauge theory of collective modes
2012
Journal of Physics, Conference Series
The classical theory of Riemann ellipsoids is formulated naturally as a gauge theory based on a principal G-bundle P. The structure group G = SO(3) is the vorticity group, and the bundle P = GL+(3, R) is the connected component of the general linear group. The base manifold is the space of positive-definite real 3 × 3 symmetric matrices, identified geometrically with the space of inertia ellipsoids. Non-holonomic constraints determine connections on the bundle. In particular, the trivial
doi:10.1088/1742-6596/403/1/012010
fatcat:b3wdfmm4tzbd3hs7soaieezsjq