A prototype for dS/CFT

TL;DR

This paper constructs a novel class of unitary, non-highest-weight Virasoro representations in de Sitter space, proposing a prototype for dS/CFT duality with potential implications for string theory.

Contribution

It introduces a new representation of the Virasoro algebra in de Sitter space, providing a foundational model for dS/CFT correspondence in string theory.

Findings

Constructed unitary Virasoro representations in dS_2

Representations have vanishing central charge

Provides a prototype for dS/CFT duality

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.