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arXiv · hep-th/0312282

A new twist on dS/CFT

Alberto Guijosa·David A. Lowe
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Abstract

We stress that the dS/CFT correspondence should be formulated using unitary principal series representations of the de Sitter isometry group/conformal group, rather than highest-weight representations as originally proposed. These representations, however, are infinite-dimensional, and so do not account for the finite gravitational entropy of de Sitter space in a natural way. We then propose to replace the classical isometry group by a q-deformed version. This is carried out in detail for two-dimensional de Sitter and we find that the unitary principal series representations deform to finite-dimensional unitary representations of the quantum group. We believe this provides a promising microscopic framework to account for the Bekenstein-Hawking entropy of de Sitter space.

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Alberto Guijosa, David A. Lowe. 2004-01-28. A new twist on dS/CFT. https://doi.org/10.1103/physrevd.69.106008

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