In 1+1 spacetime dimensions there are genuine ray representations of the Poincaré group P + sup↑ . We shall construct a free relativistic quantum field theory, such that the fields φ d are covariant under P + sup↑ and transform with a nontrivial infinitesimal exponent d.
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Baumann, K. Quantum fields in 1+1-dimension carrying a true ray representation of the Poincaré group. Lett Math Phys 25, 61–73 (1992). https://doi.org/10.1007/BF00402376
Mathematics Subject Classifications (1991)