Abstract
We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a maximal value of the angular momentum. We derive the action of Lorentz boost generators on such non-commutative spherical harmonics and show that it is compatible with the existence of a maximal angular momentum.
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ArXiv ePrint: 1901.01167
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Alessio, F., Arzano, M. A fuzzy bipolar celestial sphere. J. High Energ. Phys. 2019, 28 (2019). https://doi.org/10.1007/JHEP07(2019)028
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DOI: https://doi.org/10.1007/JHEP07(2019)028