Spin and the Symplectic Flag Manifold

Details Spin and the Symplectic Flag Manifold Spin and the Symplectic Flag Manifold

2011-09-08

arxiv.org/abs/1109.2269v1

Physics

Mathematical Physics

arXiv admin note: significant text overlap with arXiv:0904.3868

Scientific paper

A theory for the transitive action of a group on the configuration space of a system of particles is shown to lead to the conclusion that interactions can be represented by the action of cosets of the group. By application of this principle to Pauli spinors, the symplectic group Sp(n) is shown to be the largest group of isometries of the space. Interactions between particles are represented by the complete quaternionic flag variety Sp(n)/Sp(1)^n.

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