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arXiv · hep-th/0407188

q-Deformed de Sitter/Conformal Field Theory Correspondence

David A. Lowe
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Abstract

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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David A. Lowe. 2004-08-16. q-Deformed de Sitter/Conformal Field Theory Correspondence. https://doi.org/10.1103/physrevd.70.104002

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