Quasitriangular structure and twisting of the 3D bicrossproduct model
Journal of High Energy Physics
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We show that the bicrossproduct model C[SU 2 ∗ ] ▶ ◁ U (su2) quantum Poincaré group in 2+1 dimensions acting on the quantum spacetime [x i , t] = ıλx i is related by a Drinfeld and module-algebra twist to the quantum double U (su2)⊲<C[SU2] acting on the quantum spacetime [x μ , x ν ] = ıλϵ μνρ x ρ . We obtain this twist by taking a scaling limit as q → 1 of the q-deformed version of the above, where it corresponds to a previous theory of q-deformed Wick rotation from q-Euclidean to q-Minkowski space. We also recover the twist result at the Lie bialgebra level.
AuthorsMAJID, SH; Osei, P
- Mathematics