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A new twist on dS/CFT

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arxiv hep-th/0312282 v2 pith:2AIOPU4S submitted 2003-12-23 hep-th

A new twist on dS/CFT

classification hep-th
keywords representationsgroupsitterunitaryaccountentropyisometryprincipal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.