q-Deformed de Sitter/Conformal Field Theory Correspondence

Details q-Deformed de Sitter/Conformal Field Theory Correspondence q-Deformed de Sitter/Conformal Field Theory Correspondence

2004-07-21

arxiv.org/abs/hep-th/0407188v2

Phys.Rev. D70 (2004) 104002

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures, revtex, (v2 reference added)

Scientific paper

10.1103/PhysRevD.70.104002

Unitary principal series representations of the conformal group appear in the dS/CFT correspondence. These are infinite dimensional irreducible representations, without highest weights. In earlier work of Guijosa and the author it was shown for the case of two-dimensional de Sitter, there was a natural q-deformation of the conformal group, with q a root of unity, where the unitary principal series representations become finite-dimensional cyclic unitary representations. Formulating a version of the dS/CFT correspondence using these representations can lead to a description with a finite-dimensional Hilbert space and unitary evolution. In the present work, we generalize to the case of quantum-deformed three-dimensional de Sitter spacetime and compute the entanglement entropy of a quantum field across the cosmological horizon.

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