Light-cone gauge approach to arbitrary spin fields, currents, and shadows

R.R. Metsaev

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Light-cone gauge approach to arbitrary spin fields, currents, and shadows

R.R. Metsaev

High Energy Physics - Theory · Submitted 19 Dec 2013

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

The authors' main claim Light-cone formulation for such fields, currents, and shadows is obtained.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.07 · mentions code or data availability 0.02.

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Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied. Light-cone formulation for such fields, currents, and shadows is obtained. Use of the Poincare parametrization of AdS space allows us to treat fields in flat and AdS spaces on equal footing. Light-cone gauge realization of relativistic symmetries for fields, currents, and shadows is also obtained. The light-cone formulation for fields is obtained by using the gauge invariant Lagrangian which is presented in terms of the modified de Donder divergence, while the light-cone formulation for currents and shadows is obtained by using gauge invariant approach to currents and shadows. This allows us to demonstrate explicitly how ladder operators entering the gauge invariant formulation of fields, currents, and shadows manifest themselves in the light-cone formulation for fields, currents, and shadows.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied.	contribution 0.61	0.67	0.06	asserted 0.93
s1	Light-cone formulation for such fields, currents, and shadows is obtained.	contribution 0.77	0.92	0.35	asserted 1.00
s2	Use of the Poincare parametrization of AdS space allows us to treat fields in flat and AdS spaces on equal footing.	method 0.87	0.74	0.09	asserted 0.99
s3	Light-cone gauge realization of relativistic symmetries for fields, currents, and shadows is also obtained.	result 0.63	0.93	0.15	asserted 1.00
s4	The light-cone formulation for fields is obtained by using the gauge invariant Lagrangian which is presented in terms of the modified de Donder divergence, while the light-cone formulation for currents and shadows is obtained by using gauge invariant approach to currents and shadows.	method 0.98	0.90	0.17	asserted 1.00
s5	This allows us to demonstrate explicitly how ladder operators entering the gauge invariant formulation of fields, currents, and shadows manifest themselves in the light-cone formulation for fields, currents, and shadows.	result 0.73	0.91	0.33	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.60 · evidence from proof or derivation 1.00.

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Original abstract

Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied. Light-cone formulation for such fields, currents, and shadows is obtained. Use of the Poincare parametrization of AdS space allows us to treat fields in flat and AdS spaces on equal footing. Light-cone gauge realization of relativistic symmetries for fields, currents, and shadows is also obtained. The light-cone formulation for fields is obtained by using the gauge invariant Lagrangian which is presented in terms of the modified de Donder divergence, while the light-cone formulation for currents and shadows is obtained by using gauge invariant approach to currents and shadows. This allows us to demonstrate explicitly how ladder operators entering the gauge invariant formulation of fields, currents, and shadows manifest themselves in the light-cone formulation for fields, currents, and shadows.

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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

Light-Front Bootstrap for Chern-Simons Matter Theories
hep-th 2018-11 conditional novelty 6.0 of 10

Requiring the conformal algebra to close at cubic order in light-cone gauge fixes all three-point functions of higher-spin currents in Chern-Simons matter theories up to two parameters, and produces the cubic higher-s...
Light-Front Holographic QCD and Emerging Confinement
hep-ph 2014-07 conditional novelty 3.0 of 10

A harmonic light-front confinement potential, fixed by a conformal-algebra construction and mapped to a soft-wall AdS dilaton, yields a massless pion and linear Regge trajectories with one fitted scale.

How the literature uses it

13 arXiv papers cite this in 32 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 · 12 sentences without a confident label

Builds on it 2 papers

Our main aim in this paper is to generalize light-cone gauge approach for free conformal fields in Ref. [ref] to the case of interacting conformal fields.

General light-cone gauge approach to conformal fields and applications to scalar and vector fields · Introduction · 1.00
This was extended to massive fields in [ref] .

Holography of a single free matrix · Spinning Fields in AdS · 0.82

Uses its method or tool 3 papers

Using the well developed light cone formulation of Metsaev [ref] we have shown that the primaries packaged into the trilocal collective field lie on a pair of Regge trajectories, given in equations ([ref]) and ([ref]).

Holography of a single free matrix · Discussion and Conclusions · 1.00
Following [ref] our approach is based on the bulk equations of motion in light cone gauge.

Massive fields in AdS from Constructive Holography · GKPW rule for massless fields · 1.00
This study make good use of the light cone gauge description of spinning massless and massive fields on the bulk AdS$_d+1$ spacetime which has been developed in an impressive series of papers [ref] .

Constructive Holography · Introduction · 0.99

Uses its data or values 1 paper

From Table II of [ref] the AdS mass operator for massless fields in AdS$_d+1$ in the[Recall that in this description the AdS mass operator is diagonal.] so$(2)⊕$ so$(d-2)$ language is given by

Massive fields in AdS from Constructive Holography · GKPW rule for massless fields · 1.00

Compares with it 1 paper

The goal of this section is to compare the boundary behaviour of massless fields, that has been worked out in the literature [ref] with the boundary behaviour predicted by Section [ref].

Massive fields in AdS from Constructive Holography · GKPW rule for massless fields · 0.99

Cites it as support 1 paper

One can show, see e.g. [ref] , that the free action for all massless fields looks like the one in flat space[Note that the helicity fields $Φ_λ$ are related to certain components of the Fronsdal field $Φ_μ_1...μ_s$ rescaled by a factor of $z^(d-1)/2$.

Light-Front Bootstrap for Chern-Simons Matter Theories · Free Action · 0.96

Cites it as background 8 papers

The construction of the generators in the dual gravity description is more involved but has been carried out in detail in an impressive series of papers [ref] .

Massive fields in AdS from Constructive Holography · Introduction · 0.86
We review the light-cone approach to massless fields in $AdS_4$ [ref] and, importantly, the results of [ref] , the main goal being to construct a base of all possible cubic interaction vertices (amplitudes) for massless fields of any spin.

Light-Front Bootstrap for Chern-Simons Matter Theories · Light-Cone Gauge in AdS · 0.81
The light-cone gauge description of arbitrary spin totally symmetric short currents (shadows) and long currents (shadows) was developed in the respective Ref. [ref] and Ref. [ref] .

Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields · Introduction · 0.81

What it cites · 32 sentences without a confident label

Uses the method or tool of 6 papers

i) To obtain light-cone gauge formalism for the fields, we use Lagrangian gauge invariant formulation of AdS fields developed in Refs. [ref] and gauge invariant Lagrangian ordinary-derivative formulation of conformal fields in flat space developed in Refs. [ref] .

Ordinary-derivative formulation of conformal low-spin fields · Introduction · 0.99
i) To obtain light-cone gauge formalism for the fields, we use Lagrangian gauge invariant formulation of AdS fields developed in Refs. [ref] and gauge invariant Lagrangian ordinary-derivative formulation of conformal fields in flat space developed in Refs. [ref] .

Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields · Introduction · 0.99
i) To obtain light-cone gauge formalism for the fields, we use Lagrangian gauge invariant formulation of AdS fields developed in Refs. [ref] and gauge invariant Lagrangian ordinary-derivative formulation of conformal fields in flat space developed in Refs. [ref] .

CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge · Introduction · 0.99

Compares with 3 papers

For massless and massive fields in $R^d-1,1$, gauge transformations in man02-26112011-23 coincide with the ones in Refs. [ref] .

On Massive High Spin Particles in (A)dS · Introduction · 0.97
Gauge transformation parameters in Ref. [ref] are related to our gauge transformation parameters given in Table III by invertible transformation described in Ref. [ref] .

CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS · Introduction · 0.91
Gauge transformation parameter in Ref. [ref] is related to our gauge transformation parameters given in Table III by invertible transformation described in Ref. [ref] .

CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge · Introduction · 0.95

Cites as background 30 papers

For conformal field in flat space, Lagrangian man02-26112011-11xx was obtained in Refs. [ref] .

Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields · Introduction · 0.89
For conformal field in flat space, Lagrangian man02-26112011-11xx was obtained in Refs. [ref] .

Ordinary-derivative formulation of conformal low-spin fields · Introduction · 0.89
iii) For massive field in flat space, representation of the gauge invariant Lagrangian in terms of modified de Donder divergence man02-26112011-11xx was obtained in Ref. [ref] , while, for massless and massive fields in AdS space, such representation for Lagrangian was obtained in Refs. [ref] .

CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge · Introduction · 0.80

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