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arxiv: hep-th/0302008 · v2 · submitted 2003-02-02 · ✦ hep-th

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Remark About dS/CFT Correspondence

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classification ✦ hep-th
keywords spacewillcorrelatorscorrespondencefieldhilbertinnermathcal
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In this paper we will study some aspects of dS/CFT correspondence. We will focus on the relation between Witten's non-standard de Sitter inner product and correlators in the holographic dual conformal field theory. We will argue that from the definition of Witten's inner product and conjecture that the Hilbert space of initial states of massive scalar field on $\mathcal{I}^-$ in de Sitter space corresponds to the Hilbert space of states of Euclidean CFT on $\mathcal{I}^-$, we can obtain CFT correlators in any vacuum state.

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    A universal first law of thermodynamics for de Sitter cosmological horizons defines entropy in the holographic dual at future infinity as a function of boundary pressure and angular momentum from the Brown-York stress tensor.