Carrollian Physics and Holography

Romain Ruzziconi

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Carrollian Physics and Holography

Romain Ruzziconi

High Energy Physics - Theory · Submitted 2 Feb 2026

abstract compiled · 2026-10-01 · no language-model review

The authors' main claim Using this correspondence, we provide strong evidence that flat space holography arises from a controlled and consistent limiting procedure applied to both sides of the AdS/CFT duality.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.48 · mentions code or data availability 0.02.

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This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as a contraction of the Poincar\'e group obtained by formally taking the speed of light to zero. The geometric structures associated with this limit are described and argued to arise naturally on null hypersurfaces, most notably on null infinity, as well as black hole and cosmological horizons. Building on this, we examine the relation between the Bondi-Metzner-Sachs symmetries governing asymptotically flat gravity and the conformal Carrollian symmetries. Explicit examples of Carrollian field theories are constructed by implementing the limit on well-known relativistic field theories, with particular attention to Carrollian CFTs. We then present the Carrollian holography proposal, according to which gravity in asymptotically flat spacetimes is dual to a Carrollian CFT living at null infinity in one lower dimension. In this framework, the massless $\mathcal{S}$-matrix written in position space at null infinity is naturally reinterpreted in terms of boundary Carrollian CFT correlators, called Carrollian amplitudes. We highlight their relation to celestial amplitudes and show how they naturally emerge from holographic CFT correlators through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary. Using this correspondence, we provide strong evidence that flat space holography arises from a controlled and consistent limiting procedure applied to both sides of the AdS/CFT duality. We conclude by outlining future directions and open questions in the program.

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	This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes.	contribution 0.64	0.18	0.06	asserted 0.75
s1	We begin by introducing the Carrollian limit, understood as a contraction of the Poincar\'e group obtained by formally taking the speed of light to zero.	background 0.67	0.18	0.02	asserted 0.99
s2	The geometric structures associated with this limit are described and argued to arise naturally on null hypersurfaces, most notably on null infinity, as well as black hole and cosmological horizons.	background 0.48	0.29	0.03	asserted 0.79
s3	Building on this, we examine the relation between the Bondi-Metzner-Sachs symmetries governing asymptotically flat gravity and the conformal Carrollian symmetries.	contribution 0.77	0.33	0.03	asserted 0.79
s4	Explicit examples of Carrollian field theories are constructed by implementing the limit on well-known relativistic field theories, with particular attention to Carrollian CFTs.	contribution 0.77	0.81	0.03	asserted 0.99
s5	We then present the Carrollian holography proposal, according to which gravity in asymptotically flat spacetimes is dual to a Carrollian CFT living at null infinity in one lower dimension.	contribution 0.91	0.23	0.36	asserted 0.93
s6	In this framework, the massless $\mathcal{S}$-matrix written in position space at null infinity is naturally reinterpreted in terms of boundary Carrollian CFT correlators, called Carrollian amplitudes.	interpretation 0.65	0.38	0.10	asserted 1.00
s7	We highlight their relation to celestial amplitudes and show how they naturally emerge from holographic CFT correlators through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary.	contribution 0.44	0.75	0.12	asserted 1.00
s8	Using this correspondence, we provide strong evidence that flat space holography arises from a controlled and consistent limiting procedure applied to both sides of the AdS/CFT duality.	result 0.54	0.82	0.66	asserted 0.94
s9	We conclude by outlining future directions and open questions in the program.	future work 1.00	0.30	0.04	unclear 0.96

What kind of paper the classifier reports this is: review 1.00 · evidence from argument 0.55.

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Original abstract

This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as a contraction of the Poincar\'e group obtained by formally taking the speed of light to zero. The geometric structures associated with this limit are described and argued to arise naturally on null hypersurfaces, most notably on null infinity, as well as black hole and cosmological horizons. Building on this, we examine the relation between the Bondi-Metzner-Sachs symmetries governing asymptotically flat gravity and the conformal Carrollian symmetries. Explicit examples of Carrollian field theories are constructed by implementing the limit on well-known relativistic field theories, with particular attention to Carrollian CFTs. We then present the Carrollian holography proposal, according to which gravity in asymptotically flat spacetimes is dual to a Carrollian CFT living at null infinity in one lower dimension. In this framework, the massless $\mathcal{S}$-matrix written in position space at null infinity is naturally reinterpreted in terms of boundary Carrollian CFT correlators, called Carrollian amplitudes. We highlight their relation to celestial amplitudes and show how they naturally emerge from holographic CFT correlators through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary. Using this correspondence, we provide strong evidence that flat space holography arises from a controlled and consistent limiting procedure applied to both sides of the AdS/CFT duality. We conclude by outlining future directions and open questions in the program.

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References

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Cited by 8 Pith papers

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

The Stringy Photon Sphere
hep-th 2026-10 accept novelty 7.0 of 10

String theory resolves the lightcone singularities in the Schwarzschild black hole S-matrix, producing a finite smoothed bump at real times and shifting singularities into the complex time plane.
Fluids on null hypersurfaces and Carrollian hydrodynamics
hep-th 2026-10 accept novelty 7.0 of 10

A systematic theory of ideal fluids on null hypersurfaces is developed, culminating in a decoupling limit that produces an autonomous thermal Carrollian fluid from a timelike ambient fluid.
Carrollian CFTs and the Light Front
hep-th 2026-10 conditional novelty 6.0 of 10

New light-front inspired representations of 3d Carrollian CFTs produce a two-point function that maps, by an integral transform, to massive light-front scattering amplitudes.
Reflected constraint algebras of open Carroll--Weyl null strings
hep-th 2026-10 conditional novelty 6.0 of 10

Open Carroll-Weyl null strings have a reflected classical phase space whose boundary algebra is the boundary Carrollian conformal algebra extended by one weight-one current, with D-3 local embedding pairs.
Carrollian Yang-Mills theories in the homogeneous temporal gauge
hep-th 2026-10 conditional novelty 6.0 of 10

In the homogeneous temporal gauge, electric Carrollian Yang-Mills becomes a free theory, and magnetic Carrollian Yang-Mills has no loop corrections to elementary-field correlation functions, only tree-level three- and...

Show 3 more citing papers

Carrollian Worldsheets on Carrollian Targets, When does ILST describe a null string theory?
hep-th 2026-10 conditional novelty 6.0 of 10

On Carrollian target spaces with a homothetic kernel generator, the CW-gauged null string action equals the ILST action off shell, making the two theories classically equivalent.
Trinity of Carrollian Gravity: Dynamically Equivalent Formulations of Magnetic Carrollian Gravity
hep-th 2026-10 conditional novelty 6.0 of 10

Magnetic Carrollian gravity is recast into dynamically equivalent Electric Carrollian, fracton-like tensor gauge, Maxwell electric, and dilaton theories by trading curvature for torsion and non-metricity.
More on the Celestial Soft Symmetry Algebra in the ${\cal N}=8$ Supergravity
hep-th 2026-10 conditional novelty 5.0 of 10

The paper derives the full w_{1+∞} current OPE and (anti)commutator structure against N=8 supergravity matter fields, reproducing the known algebra and finding a new holomorphic sector algebra with the N=8 BMS algebra...

How the literature uses it

43 arXiv papers cite this in 63 sentences

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 · 21 sentences without a confident label

Cites it as background 32 papers

In recent years, these various pieces on null infinity have been unified in the framework of Carrollian holography [ref] , which claims that the dual field theory is located on the Carrollian manifold.[The geometric foundation of the Carrollian manifold is reviewed in [ref] .] One of the central problems is the construction of CCFTs directly at null infinity [ref] .

Spinning bulk-to-boundary correlators in the massless theories with Poincar\'e symmetry · Introduction · 0.94
Carrollian holography [ref] on the other hand puts forward a co-dimension one putative dual theory, where the field theory is a Carrollian CFT living on the entire null boundary.

Carrollian ABJM: Fermions and Supersymmetry · Introduction · 0.99
The second is Carrollian holography, in which the dual theory is a Carrollian conformal field theory (CCFT) living on a codimension one null boundary of the spacetime [ref] .

Towards a Holographic dual of Carrollian BCFT · Introduction · 0.94

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