Gauge invariant approach to low-spin anomalous conformal currents and shadow fields

R.R. Metsaev

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Gauge invariant approach to low-spin anomalous conformal currents and shadow fields

R.R. Metsaev

High Energy Physics - Theory · Submitted 18 Nov 2010

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

The authors' main claim We demonstrate that leftover on-shell gauge symmetries of bulk massive fields correspond to gauge symmetries of boundary anomalous currents and shadow fields, while the modified (Lorentz) de Donder gauge conditions for bulk massive fields correspond to differential constraints for boundary anomalous currents and shadow fields.

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Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized by involving Stueckelberg and auxiliary fields. Gauge invariant differential constraints for anomalous currents and shadow fields and realization of global conformal symmetries are obtained. Gauge invariant two-point vertices for anomalous shadow fields are also obtained. In Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the anomalous shadow fields are derived. AdS/CFT correspondence for anomalous currents and shadow fields and the respective normalizable and non-normalizable solutions of massive low-spin AdS fields is studied. The bulk fields are considered in modified de Donder gauge that leads to decoupled equations of motion. We demonstrate that leftover on-shell gauge symmetries of bulk massive fields correspond to gauge symmetries of boundary anomalous currents and shadow fields, while the modified (Lorentz) de Donder gauge conditions for bulk massive fields correspond to differential constraints for boundary anomalous currents and shadow fields.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied.	contribution 0.53	0.65	0.04	asserted 0.92
s1	Gauge invariant formulation for such currents and shadow fields is developed.	contribution 0.95	0.93	0.11	asserted 1.00
s2	Gauge symmetries are realized by involving Stueckelberg and auxiliary fields.	method 0.90	0.84	0.06	asserted 1.00
s3	Gauge invariant differential constraints for anomalous currents and shadow fields and realization of global conformal symmetries are obtained.	result 0.73	0.94	0.21	asserted 1.00
s4	Gauge invariant two-point vertices for anomalous shadow fields are also obtained.	result 0.87	0.94	0.10	asserted 1.00
s5	In Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT.	result 0.81	0.83	0.12	asserted 1.00
s6	Light-cone gauge two-point vertices of the anomalous shadow fields are derived.	result 0.73	0.93	0.07	asserted 1.00
s7	AdS/CFT correspondence for anomalous currents and shadow fields and the respective normalizable and non-normalizable solutions of massive low-spin AdS fields is studied.	contribution 1.00	0.86	0.11	asserted 0.94
s8	The bulk fields are considered in modified de Donder gauge that leads to decoupled equations of motion.	method 0.97	0.75	0.05	asserted 1.00
s9	We demonstrate that leftover on-shell gauge symmetries of bulk massive fields correspond to gauge symmetries of boundary anomalous currents and shadow fields, while the modified (Lorentz) de Donder gauge conditions for bulk massive fields correspond to differential constraints for boundary anomalous currents and shadow fields.	result 0.71	0.92	0.60	asserted 1.00

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The paper

Original abstract

Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized by involving Stueckelberg and auxiliary fields. Gauge invariant differential constraints for anomalous currents and shadow fields and realization of global conformal symmetries are obtained. Gauge invariant two-point vertices for anomalous shadow fields are also obtained. In Stueckelberg gauge frame, these gauge invariant vertices become the standard two-point vertices of CFT. Light-cone gauge two-point vertices of the anomalous shadow fields are derived. AdS/CFT correspondence for anomalous currents and shadow fields and the respective normalizable and non-normalizable solutions of massive low-spin AdS fields is studied. The bulk fields are considered in modified de Donder gauge that leads to decoupled equations of motion. We demonstrate that leftover on-shell gauge symmetries of bulk massive fields correspond to gauge symmetries of boundary anomalous currents and shadow fields, while the modified (Lorentz) de Donder gauge conditions for bulk massive fields correspond to differential constraints for boundary anomalous currents and shadow fields.

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9 arXiv papers cite this in 13 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 · 9 sentences without a confident label

Cites it as background 4 papers

In quadratic approximation, the effective actions for spin-1 and spin-2 shadow fields were studied in Refs. [ref] - [ref] , while the effective action for arbitrary spin-$s$ shadow field was considered in Refs. [ref] .

BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT · Introduction · 0.96
[ For the first time, the gauge invariant approach to bosonic conformal current and shadow fields was developed in Ref. [ref] , while for anomalous conformal current and shadow field such approach was obtained in Refs. [ref] .

CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields · Modified de Donder gauge · 0.93
[ Before our discussion in Refs. [ref] , gauge invariant approach to anomalous currents was studied in Ref. [ref] .

Light-cone gauge approach to arbitrary spin fields, currents, and shadows · Introduction · 0.86

What it cites · 26 sentences without a confident label

Builds on 2 papers

In this paper, we extend the gauge invariant Stueckelberg approach to CFT initiated in Refs. [ref] to the study of anomalous conformal currents and shadow fields.

Shadows, currents and AdS fields · Conclusions · 1.00
In this paper, we extend the gauge invariant Stueckelberg approach to CFT initiated in Refs. [ref] to the study of anomalous conformal currents and shadow fields.

Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields · Conclusions · 1.00

Uses the method or tool of 1 paper

To this end we are going to use CFT adapted gauge invariant Lagrangian and the modified Lorentz gauge condition [ref]

CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS · AdS/CFT correspondence for spin-1 fields · 0.99

Compares with 2 papers

Our normalization factor coincides with the one found in Ref. [ref]

Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields · AdS/CFT correspondence for anomalous shadow field and non-normalizable mode of massive AdS field. · 0.95
Dependence of $R^a$ on derivatives appears e.g., in ordinary-derivative approach to conformal fields [ref] .]

Ordinary-derivative formulation of conformal low-spin fields · Global conformal symmetries · 0.80

Cites as background 24 papers

[ For spin-1 massless field, the modified Lorentz gauge was found in Ref. [ref] , while for massless arbitrary spin field the modified de Donder gauge was discovered in Ref. [ref] .].

CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge · AdS/CFT correspondence for spin-1 fields · 0.83
In the earlier literature, the correspondence between non-normalizable bulk modes and shadow fields was studied in Ref. [ref] (for spin-1 fields) and in Ref. [ref] (for spin-2 fields).

Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields · Introduction · 0.86
[ It is the shadow fields having canonical dimension that are used to discuss conformal invariant equations of motion and Lagrangian formulations (see e.g. Refs. [ref] ).

A derivation of Weyl gravity · Introduction · 0.89

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