Gravitational Couplings of Higher Spins from String Theory

Dimitri Polyakov

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Gravitational Couplings of Higher Spins from String Theory

Dimitri Polyakov

High Energy Physics - Theory · Submitted 30 May 2010

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

The authors' main claim This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.90 · compares with prior results 0.96 · mentions code or data availability 0.02.

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We calculate the interaction 3-vertex of two massless spin 3 particles with a graviton using vertex operators for spin 3 fields in open string theory, constructed in our previous work. The massless spin 3 fields are shown to interact with the graviton through the linearized Weyl tensor, reproducing the result by Boulanger, Leclercq and Sundell. This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate the interaction 3-vertex of two massless spin 3 particles with a graviton using vertex operators for spin 3 fields in open string theory, constructed in our previous work.	contribution 0.87	0.94	0.08	asserted 1.00
s1	The massless spin 3 fields are shown to interact with the graviton through the linearized Weyl tensor, reproducing the result by Boulanger, Leclercq and Sundell.	result 0.99	0.84	0.32	asserted 1.00
s2	This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.	interpretation 0.99	0.45	0.60	hedged possibility 0.53

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We calculate the interaction 3-vertex of two massless spin 3 particles with a graviton using vertex operators for spin 3 fields in open string theory, constructed in our previous work. The massless spin 3 fields are shown to interact with the graviton through the linearized Weyl tensor, reproducing the result by Boulanger, Leclercq and Sundell. This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.

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References

Forward citations

Cited by 11 Pith papers

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

Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
hep-th 2020-09 conditional novelty 7.0 of 10

A Casimir quotient of U(isl(2,R)) yields the flat-space higher-spin algebra ihs(M²,S) and a generalized Klein-Gordon equation for a scalar coupled to arbitrary-spin backgrounds.
Cubic interactions of Maxwell-like higher spins
hep-th 2016-11 conditional novelty 6.0 of 10

Cubic interaction vertices for Maxwell-like higher-spin fields are constructed in flat and (Anti) de Sitter space and shown to be trace-free and simpler than their Fronsdal counterparts.
Generating functions of (partially-)massless higher-spin cubic interactions
hep-th 2012-11 conditional novelty 6.0 of 10

The authors give closed-form generating functions for all cubic interactions of partially massless higher-spin fields in (anti-)de Sitter space, and show that new couplings appear only when the masses satisfy an integ...
Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
hep-th 2011-07 conditional novelty 6.0 of 10

Cubic interactions of tall-hook mixed-symmetry gauge fields with gravity and themselves in anti-de Sitter space follow from the even Clifford algebra, with all coupling coefficients fixed by consistency.
Classical Limit of Higher-Spin String Amplitudes
hep-th 2022-07 conditional novelty 5.0 of 10

The infinite-spin limit of leading Regge superstring three-point amplitudes yields modified Bessel functions that match the current and stress tensor of a rotating classical string, not the Kerr black hole.

Show 6 more citing papers

BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
hep-th 2012-05 conditional novelty 5.0 of 10

Explicit BRST-BV generating functions are given for off-shell cubic vertices of massive and massless higher-spin fields, covariantizing earlier light-cone results and restating their spin and derivative restrictions.
Cubic interactions of massless higher spins in (A)dS: metric-like approach
hep-th 2011-10 conditional novelty 5.0 of 10

All parity-invariant cubic interactions of massless higher-spin gauge fields in (A)dS are given in closed form using traceless-transverse constraints and an ambient flat-space embedding.
A generating function for the cubic interactions of higher spin fields
hep-th 2010-09 conditional novelty 5.0 of 10

A Grassmann-extended generating function reproduces all cubic interaction terms of higher-spin gauge fields, including trace and divergence structures, in one compact operator.
On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
hep-th 2010-09 conditional novelty 5.0 of 10

Off-shell cubic and quartic higher-spin vertices are constructed via BRST, and a BCFW consistency test is argued to fail for two candidate couplings, suggesting missing non-local states.
On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
hep-th 2012-03 conditional novelty 4.0 of 10

Quartic vertices exist in closed form for any choice of the cubic vertex function, but the resulting four-point amplitudes fail the Benincasa-Cachazo four-particle consistency test.
How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
hep-th 2010-07 accept novelty 2.0 of 10

Higher-spin gravity avoids flat-space no-go theorems by making the cosmological constant both an infrared cutoff and a coupling, so minimal spin-two coupling becomes subleading in anti-de Sitter space.

How the literature uses it

19 arXiv papers cite this in 21 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 · 13 sentences without a confident label

Cites it as background 8 papers

The results [ref] and [ref] concern higher-spin gauge fields which, when described in the metric-like or Fronsdal formalism [ref] , are given by totally symmetric rank-$s$ tensors[For recent works on cubic couplings among totally symmetric fields see [ref] .].

Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds · Introduction · 0.96
A preliminary step towards this goal would be to construct the most general consistent cubic couplings.[ Many efforts have been devoted in this direction: see the references in [ref] for an exhaustive list of works, and in particular the latest works [ref] and [ref] for flat-space and (A)dS interactions involving totally-symmetric HS fields, respectively.] Among them, only a subset is expected to be compatible with higher-order interactions [ref] and lead eventually to fully non-linear theories.

Generating functions of (partially-)massless higher-spin cubic interactions · Introduction · 0.95
One can observe during the last years growing interest in this topic connected with recent progress in the construction of cubic interactions for higher spin gauge fields and its association to string theory [ref] - [ref] , which gave new insights in earlier important works [ref] - [ref] .

Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space · Introduction · 0.81

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