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arxiv: 2604.27068 · v1 · submitted 2026-04-29 · ✦ hep-th

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Holographic realization of higher-spin Carrollian free fields

Authors on Pith no claims yet

Pith reviewed 2026-05-07 09:51 UTC · model grok-4.3

classification ✦ hep-th
keywords holographyflat space gravityhigher-spin gravityCarrollian fieldsasymptotic symmetriesMiura transformationsCoulomb gas
0
0 comments X

The pith

Boundary conditions in flat higher-spin gravity realize Carrollian free fields by splitting asymptotic symmetries into physical transformations and screening charges.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper constructs boundary conditions for three-dimensional asymptotically flat higher-spin gravity that generalize the diagonal gauge from Anti-de Sitter space. These conditions cause the asymptotic symmetries to decompose into genuine physical transformations and pure gauge redundancies generated by Carrollian screening charges. The resulting structure produces a bulk realization of Carrollian Miura transformations that express physical observables in terms of celestial free scalars. A sympathetic reader would care because this creates a direct connection between flat-space higher-spin gravity and a Carrollian Coulomb gas description, opening a route toward quantizing flat holography.

Core claim

We provide a holographic bulk realization of Carrollian free-field structures arising in three-dimensional asymptotically flat higher-spin gravity. We construct a class of boundary conditions that generalizes the diagonal gauge of Anti-de Sitter to flat spacetimes. We show that the associated asymptotic symmetries decompose into genuine physical transformations and pure gauge redundancies, the latter being generated by Carrollian screening charges. This structure leads to a bulk-born realization of Carrollian Miura transformations, expressing physical observables in terms of celestial free scalars.

What carries the argument

The generalization of diagonal gauge boundary conditions to flat spacetimes, which decomposes asymptotic symmetries into physical transformations and Carrollian screening charges.

If this is right

  • Physical observables become expressible through Carrollian Miura transformations in terms of celestial free scalars.
  • The construction establishes a concrete link between flat space higher-spin gravity and a Carrollian Coulomb gas description.
  • The setup supplies a promising route toward quantization of flat holography by mapping to known free-field structures.
  • Carrollian free-field structures appear directly in the bulk via the chosen boundary conditions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Analogous boundary conditions could be explored in four-dimensional flat gravity or other higher-spin models.
  • Explicit correlation functions computed from the celestial scalars could test whether the Miura map preserves the expected Carrollian dynamics.
  • The link to the Coulomb gas may allow transfer of quantization techniques from integrable systems to flat holography.

Load-bearing premise

The proposed boundary conditions in flat spacetime must generalize the AdS diagonal gauge in a way that cleanly separates physical transformations from Carrollian screening charges without residual mixing.

What would settle it

An explicit computation of the charge Poisson brackets that shows the Carrollian screening charges fail to act as pure redundancies or do not decouple from the physical observables would falsify the decomposition.

read the original abstract

We provide a holographic bulk realization of Carrollian free-field structures arising in three-dimensional asymptotically flat (higher-spin) gravity. We construct a class of boundary conditions that generalizes the diagonal gauge of Anti-de Sitter to flat spacetimes. We show that the associated asymptotic symmetries decompose into genuine physical transformations and pure gauge redundancies, the latter being generated by Carrollian screening charges. This structure leads to a bulk-born realization of Carrollian Miura transformations, expressing physical observables in terms of celestial free scalars. Our results establish a concrete link between flat space (higher-spin) gravity and a Carrollian Coulomb gas description, thereby providing a promising route toward the quantization of flat holography.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The paper constructs boundary conditions for three-dimensional asymptotically flat higher-spin gravity that generalize the diagonal gauge from AdS. These conditions lead to a decomposition of asymptotic symmetries into physical transformations and pure gauge redundancies generated by Carrollian screening charges. The structure yields Carrollian Miura transformations that express physical observables in terms of celestial free scalars, establishing a holographic link between flat-space higher-spin gravity and a Carrollian Coulomb gas description as a step toward quantizing flat holography.

Significance. If the derivations hold, the work provides a concrete bulk realization of Carrollian free-field structures directly from asymptotically flat higher-spin gravity. The generalization of the diagonal gauge and the resulting symmetry decomposition without additional parameters represent a clear advance for flat holography, particularly in connecting to Carrollian Coulomb gas models for potential quantization.

minor comments (2)
  1. [Boundary conditions] The explicit fall-off conditions and connection form in the boundary conditions section should include a side-by-side comparison with the AdS diagonal gauge to make the generalization fully transparent.
  2. [Symmetry decomposition and Miura transformations] The derivation of the Carrollian Miura map from the screening charges would benefit from an additional equation showing the explicit map between observables and free scalars, including any intermediate steps.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive summary, significance assessment, and recommendation of minor revision. No major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper presents a direct mathematical construction: a class of boundary conditions is defined that generalizes the AdS diagonal gauge to asymptotically flat higher-spin gravity, from which the decomposition of asymptotic symmetries into physical transformations and Carrollian screening charges is derived via the flat-space connection form and fall-off conditions. The Carrollian Miura transformations then follow by expressing physical observables in terms of celestial free scalars, leading to the link with the Carrollian Coulomb gas. No steps reduce by construction to fitted inputs, no parameters are renamed as predictions, and no load-bearing self-citations or uniqueness theorems imported from the authors' prior work make the central result tautological. The derivation is self-contained as a bulk-to-boundary realization from the stated assumptions.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Based on abstract only; no explicit free parameters, axioms, or invented entities are identifiable. Standard assumptions of asymptotically flat gravity and higher-spin extensions are implicit but not detailed.

pith-pipeline@v0.9.0 · 5409 in / 1092 out tokens · 46160 ms · 2026-05-07T09:51:33.320240+00:00 · methodology

discussion (0)

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Forward citations

Cited by 1 Pith paper

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

  1. Carroll fermions from null reduction: A case of good and bad fermions

    hep-th 2026-05 unverdicted novelty 6.0

    Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.

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