A generating formulation for free higher spin massless fields

Arkady Yu. Segal

RECORD

A generating formulation for free higher spin massless fields

Arkady Yu. Segal

High Energy Physics - Theory · Submitted 5 Mar 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim An action describing the dynamics of an infinite collection of massless integer spin fields with spin s=0,1,2,3, ...$\infty$ corresponding to totally symmetric Young tableaux representations of Poincare and anti-de Sitter groups is constructed, in any dimension d, in terms of two functions on a 2d-dimensional manifold.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. 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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,349 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.04 · 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.

An action describing the dynamics of an infinite collection of massless integer spin fields with spin s=0,1,2,3, ...$\infty$ corresponding to totally symmetric Young tableaux representations of Poincare and anti-de Sitter groups is constructed, in any dimension d, in terms of two functions on a 2d-dimensional manifold. The action is represented by an integral localized on a 2d-1-dimensional hypersurface.

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	An action describing the dynamics of an infinite collection of massless integer spin fields with spin s=0,1,2,3, ...$\infty$ corresponding to totally symmetric Young tableaux representations of Poincare and anti-de Sitter groups is constructed, in any dimension d, in terms of two functions on a 2d-dimensional manifold.	contribution 0.99	0.92	0.74	asserted 1.00
s1	The action is represented by an integral localized on a 2d-1-dimensional hypersurface.	contribution 0.59	0.84	0.13	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 1.00.

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

not run

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

The paper

Original abstract

An action describing the dynamics of an infinite collection of massless integer spin fields with spin s=0,1,2,3, ...$\infty$ corresponding to totally symmetric Young tableaux representations of Poincare and anti-de Sitter groups is constructed, in any dimension d, in terms of two functions on a 2d-dimensional manifold. The action is represented by an integral localized on a 2d-1-dimensional hypersurface.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 3 Pith papers

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

Conformal Higher Spin Theory
hep-th 2002-07 conditional novelty 7.0 of 10

A single 'quantized volume' action, the trace of the step function of a Hermitian differential operator, is proposed as the nonlinear action for all conformal higher spin fields in any dimension.
Lagrangian formulation of the massless higher integer spin fields in the AdS background
hep-th 2001-09 conditional novelty 6.0 of 10

A nilpotent BRST charge for the nonlinear W3-like constraint algebra of massless higher spins in AdS_D yields an explicit gauge-invariant action that reduces to Fronsdal's in the flat and D=4 limits.
Basic introduction to higher-spin theories
hep-th 2022-06 accept novelty 2.0 of 10

A structured lecture-note introduction to massless higher-spin theory, covering free field representation theory, the Fronsdal action in flat and AdS space, higher-spin algebras, the Noether procedure, no-go theorems,...

How the literature uses it

4 arXiv papers cite this in 8 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 · 2 sentences without a confident label

Uses its method or tool 1 paper

Such a procedure was developed in [ref] and requires the use of distributions localised on the $η$-hyperboloid $η^2+1=0$ and its neighbourhoods.

Remarks on a Gauge Theory for Continuous Spin Particles · Cotangent Bundle Formulation · 0.98

Compares with it 2 papers

This indirect connection can be understood similarly to the relationship between the Segal Lagrangian [ref] and the quartet Lagrangian [ref] and the Lagrangian by Francia and Sagnotti in [ref] in the $μ= 0$ case.

Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension · Relation to Other Studies · 0.98
A similar effect is achieved in the formulation of [ref] .

Basic introduction to higher-spin theories · Further reading · 0.88

Cites it as background 2 papers

As it is well known it is possible to have a quadratic HS theory in (A)dS spaces [ref] and a formulation using a field $Ψ(η,x)$ was developed in [ref] .

Remarks on a Gauge Theory for Continuous Spin Particles · Final Remarks · 0.91
[ref] , but these were not successful.

Inconsistency of point-particle dynamics on higher-spin backgrounds · Introduction · 0.90

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.