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A prototype for dS/CFT

Alberto Guijosa·David A. Lowe·Jeff Murugan
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Abstract

We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter spacetime contains the Virasoro algebra. We construct representations of the Virasoro algebra realized in the Fock space of a massive scalar field in de Sitter, built as excitations of the Euclidean vacuum state. These representations are unitary, without highest weight, and have vanishing central charge. They provide a prototype for a new class of conformal field theories dual to de Sitter backgrounds in string theory. The mapping of operators in the CFT to bulk quantities is described in detail. We comment on the extension to dS_3/CFT_2.

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Alberto Guijosa, David A. Lowe, Jeff Murugan. 2005-05-16. A prototype for dS/CFT. https://doi.org/10.1103/physrevd.72.046001

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