Quasitriangular structure and twisting of the 3D bicrossproduct model
Abstract We show that the bicrossproduct model C[SU 2∗] ▶ ◁ U (su 2) 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 (su 2)⊲<C[SU 2] acting on the quantum spacetime [x μ , x ν ] =...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)147 |
| Summary: | Abstract We show that the bicrossproduct model C[SU 2∗] ▶ ◁ U (su 2) 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 (su 2)⊲<C[SU 2] 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. |
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| ISSN: | 1029-8479 |