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Les Houches Lectures on De Sitter Space

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abstract

These lectures present an elementary discussion of some background material relevant to the problem of de Sitter quantum gravity. The first two lectures discuss the classical geometry of de Sitter space and properties of quantum field theory on de Sitter space, especially the temperature and entropy of de Sitter space. The final lecture contains a pedagogical discussion of the appearance of the conformal group as an asymptotic symmetry group, which is central to the dS/CFT correspondence. A (previously lacking) derivation of asymptotically de Sitter boundary conditions is also given.

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representative citing papers

The yes boundaries wavefunctions of the universe

hep-th · 2026-04-11 · conditional · novelty 6.5

A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.

Networks as the fundamental constituents of the universe

gr-qc · 2025-12-19 · unverdicted · novelty 6.0

Binary relations on random networks constitute the universe, with space and matter as phases of a statistical model whose Ollivier-Ricci curvature produces emergent 3D geometry, Einstein equations, and relativistic quantum mechanics at large scales.

No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$

hep-th · 2025-11-30 · unverdicted · novelty 6.0

The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.

3D near-de Sitter gravity and the soft mode of DSSYK

hep-th · 2026-04-22 · unverdicted · novelty 6.0

The soft mode of DSSYK is dual to 3D near-de Sitter gravity with a localized dS2 slice, where effective actions, entropies, and correlators match via conformal boundary conditions on future and past infinity.

A Compact Story of Positivity in de Sitter

hep-th · 2025-08-11 · unverdicted · novelty 5.0

Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.

Exact and Finite de Sitter QFT from CFT

hep-th · 2026-06-23 · reject · novelty 4.0

A CFT's oriented-ball moduli space carries a dS metric; CFT operators are lifted onto it to define a purported finite dS QFT with Euclidean wavefunction and Minkowski double-time representations.

A Survey through Conformal Time

gr-qc · 2026-04-07 · unverdicted · novelty 2.0

This pedagogical survey clarifies how conformal time governs geodesics and curvature in different eras of a flat FRW universe and provides a general affine-parameter formalism.

De Sitter Representations

hep-th · 2026-06-24 · unverdicted · novelty 0.0

Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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