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In an earlier paper we have constructed a basis of massless single particle quantum states which transform in the unitary principal series representation of the four dimensional Lorentz group.
V. Bargmann, ”Irreducible Unitary Representations of the Lorentz Group”, Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 568-640
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S. Pasterski, A. Strominger and A. Zhiboedov, “New Gravitational Memories,” JHEP 1612
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