Lie algebra representation of the 1+1-dimensional affine Poincaré group via deformation quantization
Дата
2021-08-26Metadata
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Аннотации
In this work, we illustrate an explicit construction of the Lie algebra representations of the 1+1-dimensional affine Poincaré group on the cotangent bundle of cones as its coadjoint orbit. Our main construction tool is the Moyal star-product introduced to the Lie algebra of observables associated to the said group, that is, the left star-product multiplication of these observables with functions on the coadjoint orbit will give rise to a Lie algebra representations of the group. Moreover, the Lie algebra representations of the Poincaré group and the connected component affine group are recovered from the construction.
Recommended Citation
Balsomo, A. J., & Nable, J. A. (2021). Lie algebra representation of the 1+1-dimensional affine Poincaré group via deformation quantization. Proceedings of the Samahang Pisika ng Pilipinas, Vol. 39, Accelerating national progress via physics: from quantum to stellar and beyond (SPP-2021-1F-03, pp 1-4). Samahang Pisika ng Pilipinas. https://proceedings.spp-online.org/article/view/SPP-2021-1F-03.