Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.
Wei,Holographic dual of crosscap conformal field theory,JHEP03(2025) 086 [2405.03755]
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In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for generic p.
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.
Introduces crosscap quenches in CFTs and holographic models to derive universal entanglement entropy evolution, validated by numerics in spin systems.
citing papers explorer
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Monitoring a de Sitter universe through an anti-de Sitter window
Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.
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A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen
In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
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Crosscap Defects
Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for generic p.
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No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$
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.
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Crosscap Quenches and Entanglement Evolution
Introduces crosscap quenches in CFTs and holographic models to derive universal entanglement entropy evolution, validated by numerics in spin systems.