English

A new twist on dS/CFT

High Energy Physics - Theory 2009-11-10 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0312282,
  title  = {A new twist on dS/CFT},
  author = {Alberto Guijosa and David A. Lowe},
  journal= {arXiv preprint arXiv:hep-th/0312282},
  year   = {2009}
}

Comments

21 pages, revtex, v2 references added

R2 v1 2026-07-22T15:20:55.035Z