Effective dynamics and quantum information in de Sitter wedge holography

Sabyasachi Maulik; Soumen Pari

REVIEW

Effective dynamics and quantum information in de Sitter wedge holography

Sabyasachi Maulik, Soumen Pari

High Energy Physics - Theory · Submitted 13 Jul 2026

Pith's verdict: Abstract-only dS-wedge holography proposal: concrete setup, standard checks claimed, but nothing inspectable yet.

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arXiv ID2607.11848 (version 1)

Pith IDNQRDFKQO, Pith's permanent record of this paper and its review

CitationSabyasachi Maulik, Soumen Pari. "Effective dynamics and quantum information in de Sitter wedge holography." arXiv:2607.11848 (2026). https://pith.science/paper/NQRDFKQO

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Editor's note

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This is an abstract-only look at a dS-wedge holography paper, so we cannot verify the calculations. What is on the table is a concrete extension of wedge holography: AdS_{d+1} bulk cut off by two dS_d EOW branes, proposed dual to a (claimed non-unitary) CFT on S^{d-1}. They report partition-function and holographic EE matches, a mass-spectrum analysis, a first-law check, and a simplified island Page curve.

That package is a legitimate next step in the existing wedge/EOW program, not a first-principles rewrite of holography. If the bulk geometry is cleanly set up and the Z and S_EE reductions actually land on sphere-CFT quantities without circular definition of the dual, that is useful for people working on cosmological Page curves and non-unitary duals. Credit where due: they are not just waving at duality; they list the standard consistency suite (partition function, EE, spectrum, first law, islands) that the subfield expects.

The soft spot is exactly what the stress test says and it is load-bearing for any verdict: we have no equations, no embedding/tension conditions, no explicit reduction to the sphere theory, and no diagnostic that shows non-unitarity beyond the abstract’s assertion. Matching Z and holographic EE is necessary but not a full operator dictionary; without the formulae we cannot tell whether the match is non-trivial or whether the spectrum is consistent with a CFT on S^{d-1}. Circularity risk looks moderate from the abstract alone—they propose the dual then check bulk quantities—but that is unresolvable until the text is readable. No free parameters or invented gadgets jump out beyond the dual itself.

Who it is for: people already in braneworld holography, dS/CFT-adjacent constructions, and island calculations. A serious referee should see the full paper; desk-rejecting on abstract alone would be premature. I would not cite it yet and would only bring it to reading group once the PDF is available and the matching conditions can be checked. Send it to peer review when the manuscript is complete; the setup is sharp enough to deserve that time even if the non-unitarity claim needs tightening.

Referee report

Major objections (4)

[Abstract (central duality claim)] The central duality claim—that matching the bulk partition function and holographic entanglement entropy (together with a mass-spectrum analysis) establishes a full codimension-two duality to a CFT on S^{d-1}—cannot be assessed from the abstract. Matching Z and S_EE is a standard consistency test but does not by itself supply an operator dictionary or an independent CFT construction. The manuscript must exhibit the explicit bulk-to-boundary map, the reduction that localizes the dual on S^{d-1}, and at least one non-trivial matching condition that is not fixed by the geometry alone.
[Abstract (non-unitarity claim)] The assertion that the dual CFT is non-unitary is load-bearing and is said to follow from the same partition-function and EE computations. The abstract does not state the diagnostic (e.g., sign of the effective central charge, complex conformal dimensions, or negative-norm states). Without an explicit, checkable criterion and its relation to known consistency conditions for non-unitary CFTs on spheres, the non-unitarity claim cannot be evaluated.
[Abstract (mass-spectrum analysis)] The mass-spectrum analysis is presented as further support for the duality. For a CFT on S^{d-1} the spectrum must organize into conformal multiplets with definite scaling dimensions. The paper needs to show that the bulk modes map onto such a spectrum (including any continuum or discrete structure induced by the dS branes) rather than merely listing masses; otherwise the spectrum check does not constrain the proposed dual.
[Abstract (island / Page curve)] The Page-curve calculation via the island prescription is restricted to a simplified model. The abstract does not specify which degrees of freedom are traced, how the island is embedded relative to the two dS EOW branes, or whether the resulting Page time and late-time entropy are controlled by the same parameters that enter the partition-function and EE matches. Without that linkage the island result does not yet reinforce the proposed duality.

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The paper

The paper claims

A dS wedge of AdS bulk is dual to a non-unitary CFT on a lower-dimensional sphere.

The reading

The paper proposes a codimension-two holographic duality in which a (d+1)-dimensional Anti-de Sitter bulk, cut off by two end-of-the-world branes that each carry d-dimensional de Sitter geometry, is dual to a conformal field theory living on a (d-1)-dimensional sphere. Partition-function and holographic-entanglement-entropy computations are offered as evidence for the duality and as a signal that the dual CFT is non-unitary. The authors also extract the mass spectrum of the setup, verify the first law of entanglement entropy, and apply the island prescription in a simplified model to obtain a Page curve. If the proposal holds, it supplies a concrete holographic laboratory for quantum information in de Sitter-like wedges and for the emergence of non-unitary CFTs from bulk geometries with end-of-the-world branes.

What carries the argument

The dS wedge: a portion of AdS bulk delimited by two end-of-the-world branes of de Sitter geometry, whose holographic dual is proposed to be a CFT on the (d-1)-sphere that forms the codimension-two locus of the construction.

Extended reading notes

Core claim

A d+1-dimensional AdS spacetime bounded by two end-of-the-world branes of d-dimensional de Sitter geometry is holographically dual to a (non-unitary) CFT on a d-1-dimensional sphere; matching of the bulk partition function and holographic entanglement entropy, together with a mass-spectrum analysis, is claimed to support this duality.

Load-bearing premise

Matching the bulk partition function and holographic entanglement entropy (plus a mass spectrum) is taken as sufficient evidence that a full codimension-two duality to a non-unitary CFT on the sphere holds.

Original abstract

In this paper, we study codimension-two holography in a de Sitter (dS) wedge setup, based on the idea of wedge holography. We consider a $d+1$-dimensional Anti-de Sitter (AdS) bulk spacetime bounded by two end-of-the-world branes with $d$-dimensional de Sitter geometry. We propose that this configuration is holographically dual to a conformal field theory (CFT) living on a $d-1$-dimensional sphere. Our computations of the partition function and holographic entanglement entropy support this duality and indicate that the dual CFT is non-unitary. We also analyze the mass spectrum in dS wedge holography. We verify the first law of entanglement entropy within this framework. Finally, we make use of the island prescription to study the Page curve in a simplified model within our dS wedge holography framework.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,576 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.49 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

In this paper, we study codimension-two holography in a de Sitter (dS) wedge setup, based on the idea of wedge holography. We consider a $d+1$-dimensional Anti-de Sitter (AdS) bulk spacetime bounded by two end-of-the-world branes with $d$-dimensional de Sitter geometry. We propose that this configuration is holographically dual to a conformal field theory (CFT) living on a $d-1$-dimensional sphere. Our computations of the partition function and holographic entanglement entropy support this duality and indicate that the dual CFT is non-unitary. We also analyze the mass spectrum in dS wedge holography. We verify the first law of entanglement entropy within this framework. Finally, we make use of the island prescription to study the Page curve in a simplified model within our dS wedge holography framework.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper, we study codimension-two holography in a de Sitter (dS) wedge setup, based on the idea of wedge holography.	contribution 0.96	0.81	0.04	asserted 0.94
s1	We consider a $d+1$-dimensional Anti-de Sitter (AdS) bulk spacetime bounded by two end-of-the-world branes with $d$-dimensional de Sitter geometry.	method 0.63	0.26	0.04	asserted 0.98
s2	We propose that this configuration is holographically dual to a conformal field theory (CFT) living on a $d-1$-dimensional sphere.	contribution 0.88	0.58	0.54	speculative 0.42
s3	Our computations of the partition function and holographic entanglement entropy support this duality and indicate that the dual CFT is non-unitary.	result 0.90	0.95	0.52	hedged possibility 0.80
s4	We also analyze the mass spectrum in dS wedge holography.	contribution 1.00	0.89	0.03	asserted 0.79
s5	We verify the first law of entanglement entropy within this framework.	result 0.52	0.94	0.05	asserted 1.00
s6	Finally, we make use of the island prescription to study the Page curve in a simplified model within our dS wedge holography framework.	contribution 0.85	0.94	0.08	asserted 0.97

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.70.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
hep-th 2026-07 unverdicted novelty 6.0 of 10

Timelike entanglement first law holds in Lovelock gravity about AdS, with both entropy and modular Hamiltonian variations carrying the same coupling factor that renormalizes Newton's constant in the linearized equations.
Aspects of Codimension two Holography in de Sitter Space
hep-th 2026-10 conditional novelty 5.0 of 10

For two-brane de Sitter wedge holography, partition function, pseudo entropy, Renyi entropy, and scalar correlators in both dS and EAdS slicings consistently give a two-dimensional CFT with imaginary central charge; t...

How the literature uses it

1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper

This viewpoint has been applied to the dS$_3$/CFT$_2$ duality, $TT̅$-deformed theories, Rindler methods, relations between timelike and spacelike entanglement, and the imaginary part of TEE [ref] .

Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity · Introduction · 1.00

What it cites · 70 sentences without a confident label

Builds on 1 paper

In this section, we investigate a Page-like transition in dS wedge holography for general $d > 2$, extending the analysis of [ref] .

Entangled universes in dS wedge holography · Information recovery in dS wedge holography · 1.00

Uses the method or tool of 15 papers

As shown in Appendix [ref], the holographic stress tensor is obtained by analytically continuing the AdS/CFT result, and it is given by [equation] where $G^(d)_N$ is the effective Newton's constant on the brane, and $h^(d-1)_ij$ is the coefficient in the near-boundary Fefferman-Graham (FG) expansion of the induced metric on the brane [equation] For massive KK graviton modes, the FG expansion takes the form [ref] [equation] where [equation] is the conformal dimension of the massive graviton.

Effective Action, Spectrum and First Law of Wedge Holography · The massive fluctuations · 0.93
To relate the metric perturbation on the de Sitter brane to the expectation value of the dual stress-energy tensor, we employ the standard dS/CFT dictionary [ref] .

Holography for Cosmology · Holographic stress-energy tensor in dS/CFT · 0.91
To relate the metric perturbation on the de Sitter brane to the expectation value of the dual stress-energy tensor, we employ the standard dS/CFT dictionary [ref] .

The dS/CFT Correspondence · Holographic stress-energy tensor in dS/CFT · 0.91

Compares with 6 papers

We can compare equation [ref] with the standard result for a CFT$_2$ on $S^2$ with a central charge $c$, given by [ We use the angular convention $ds^2=dθ^2+cos^2θ dΩ_d-2^2$, rather than $ds^2=dθ^2+sin^2θ dΩ_d-2^2$ adopted in [ref] .

Geometric and Renormalized Entropy in Conformal Field Theory · Holographic entanglement entropy · 0.97
We can compare equation [ref] with the standard result for a CFT$_2$ on $S^2$ with a central charge $c$, given by [ We use the angular convention $ds^2=dθ^2+cos^2θ dΩ_d-2^2$, rather than $ds^2=dθ^2+sin^2θ dΩ_d-2^2$ adopted in [ref] .

Wedge Holography in Flat Space and Celestial Holography · Holographic entanglement entropy · 0.97
We can compare equation [ref] with the standard result for a CFT$_2$ on $S^2$ with a central charge $c$, given by [ We use the angular convention $ds^2=dθ^2+cos^2θ dΩ_d-2^2$, rather than $ds^2=dθ^2+sin^2θ dΩ_d-2^2$ adopted in [ref] .

Entanglement Entropy and Quantum Field Theory · Holographic entanglement entropy · 0.97

Cites as background 29 papers

Gravity in this wedge is proposed to be dual to quantum gravity on the two $d$-dimensional branes, and also to a CFT$_d-1$ living on their codimension-two intersection [ref] .

An Exact Construction of Codimension two Holography · Introduction · 0.83
Gravity in this wedge is proposed to be dual to quantum gravity on the two $d$-dimensional branes, and also to a CFT$_d-1$ living on their codimension-two intersection [ref] .

Codimension-n Holography for Cones · Introduction · 0.83
Gravity in this wedge is proposed to be dual to quantum gravity on the two $d$-dimensional branes, and also to a CFT$_d-1$ living on their codimension-two intersection [ref] .

Codimension two holography for wedges · Introduction · 0.83

Discussion

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