The anticommutator spin algebra, its representations and quantum group invariance

Details The anticommutator spin algebra, its representations and quantum group invariance The anticommutator spin algebra, its representations and quantum group invariance

2002-12-11

arxiv.org/abs/hep-th/0212127v1

Int.J.Mod.Phys. A18 (2003) 5039-5046

Physics

High Energy Physics

High Energy Physics - Theory

7 A4 pages

Scientific paper

10.1142/S0217751X03015933

We define a 3-generator algebra obtained by replacing the commutators by anticommutators in the defining relations of the angular momentum algebra. We show that integer spin representations are in one to one correspondence with those of the angular momentum algebra. The half-integer spin representations, on the other hand, split into two representations of dimension j + 1/2. The anticommutator spin algebra is invariant under the action of the quantum group SO_q(3) with q=-1.

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