CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields

R.R. Metsaev

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CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields

R.R. Metsaev

High Energy Physics - Theory · Submitted 28 Nov 2013

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

The authors' main claim Also we shown that the UV divergence of the two-point gauge invariant vertex gives higher-derivative action of fermionic conformal field.

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Fermionic totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four are studied. Using Poincar\'e parametrization of AdS space, CFT adapted gauge invariant formulation for such fields is developed. We demonstrate that the curvature and radial coordinate contributions to Lagrangian and gauge transformation of the AdS fields can be expressed in terms of ladder operators. Covariant and modified de Donder gauge conditions are proposed. The modified de Donder gauge leads to decoupled equations of motion which can easily be solved in terms of the Bessel function. The AdS/CFT correspondence for conformal current and shadow field and the respective normalizable and non-normalizable modes of fermionic massless AdS field is studied. The AdS field is considered by using the modified de Donder gauge which simplifies considerably the study of AdS/CFT correspondence. We show that on-shell leftover gauge symmetries of bulk massless field are related to gauge symmetries of boundary conformal current and shadow field. We compute the bulk action on solution of the Dirichlet problem and obtain two-point gauge invariant vertex of shadow field. Also we shown that the UV divergence of the two-point gauge invariant vertex gives higher-derivative action of fermionic conformal field.

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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	Fermionic totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four are studied.	contribution 0.53	0.68	0.04	asserted 0.94
s1	Using Poincar\'e parametrization of AdS space, CFT adapted gauge invariant formulation for such fields is developed.	method 0.56	0.93	0.07	asserted 1.00
s2	We demonstrate that the curvature and radial coordinate contributions to Lagrangian and gauge transformation of the AdS fields can be expressed in terms of ladder operators.	result 0.70	0.92	0.09	asserted 1.00
s3	Covariant and modified de Donder gauge conditions are proposed.	method 0.61	0.89	0.06	asserted 0.99
s4	The modified de Donder gauge leads to decoupled equations of motion which can easily be solved in terms of the Bessel function.	result 0.77	0.89	0.11	asserted 1.00
s5	The AdS/CFT correspondence for conformal current and shadow field and the respective normalizable and non-normalizable modes of fermionic massless AdS field is studied.	contribution 0.99	0.84	0.12	asserted 0.96
s6	The AdS field is considered by using the modified de Donder gauge which simplifies considerably the study of AdS/CFT correspondence.	method 0.70	0.71	0.10	asserted 1.00
s7	We show that on-shell leftover gauge symmetries of bulk massless field are related to gauge symmetries of boundary conformal current and shadow field.	result 0.96	0.92	0.25	asserted 1.00
s8	We compute the bulk action on solution of the Dirichlet problem and obtain two-point gauge invariant vertex of shadow field.	result 0.75	0.95	0.12	asserted 1.00
s9	Also we shown that the UV divergence of the two-point gauge invariant vertex gives higher-derivative action of fermionic conformal field.	result 0.97	0.93	0.30	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.85 · evidence from proof or derivation 1.00.

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Original abstract

Fermionic totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four are studied. Using Poincar\'e parametrization of AdS space, CFT adapted gauge invariant formulation for such fields is developed. We demonstrate that the curvature and radial coordinate contributions to Lagrangian and gauge transformation of the AdS fields can be expressed in terms of ladder operators. Covariant and modified de Donder gauge conditions are proposed. The modified de Donder gauge leads to decoupled equations of motion which can easily be solved in terms of the Bessel function. The AdS/CFT correspondence for conformal current and shadow field and the respective normalizable and non-normalizable modes of fermionic massless AdS field is studied. The AdS field is considered by using the modified de Donder gauge which simplifies considerably the study of AdS/CFT correspondence. We show that on-shell leftover gauge symmetries of bulk massless field are related to gauge symmetries of boundary conformal current and shadow field. We compute the bulk action on solution of the Dirichlet problem and obtain two-point gauge invariant vertex of shadow field. Also we shown that the UV divergence of the two-point gauge invariant vertex gives higher-derivative action of fermionic conformal field.

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References

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13 arXiv papers cite this in 20 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 · 11 sentences without a confident label

Uses its method or tool 2 papers

One would have to use the following set of operators [ref] :

Frame- and Metric-like Higher-Spin Fermions · Metric-like Formulation · 0.88
In the dual gravity we will employ a modified de Donder gauge [ref] (see also [ref] ) which preserves the boundary Poincaré invariance.

Microscopic Entanglement Wedges · Covariant Bilocal Holography · 0.92

Compares with it 1 paper

The value of the mass parameter, determined uniquely by gauge invariance, is in complete agreement with the known results [ref] .

Frame- and Metric-like Higher-Spin Fermions · Introduction · 0.86

Cites it as background 6 papers

The Fang-Fronsdal metric-like approach for higher-spin fermions, on the other hand, has been studied in arbitrary dimensions in Ref. [ref] .

Frame- and Metric-like Higher-Spin Fermions · Introduction · 0.91
The massless counterpart of such a system is well known in the literature as Conformal Higher Spin [ref] (See also Refs. [ref] for recent discussions).

Higher-Spin Modes in a Domain-Wall Universe · Massive HS Fields in a Gravitational Background · 0.98
Among other activities we should mention analysis of the action principle in HS theory at the cubic level (see, e.g., [ref] ) and beyond [ref] as well as the further progress in understanding HS holography (see e.g., [ref] ) including holographic RG flows [ref] and conformal correlators of HS currents [ref] .

Higher-Spin Theory and Space-Time Metamorphoses · Summary and Conclusion · 0.99

What it cites · 25 sentences without a confident label

Uses the method or tool of 1 paper

[ We use oscillator formulation to handle the many indices appearing for arbitrary spin fields (see e.g., Refs. [ref] ).]

Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions · Introduction · 0.91

Cites as background 24 papers

[ 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] .

Gauge invariant approach to low-spin anomalous conformal currents and shadow fields · Modified de Donder gauge · 0.93
[ 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] .

Anomalous conformal currents, shadow fields and massive AdS fields · Modified de Donder gauge · 0.93
[ 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] .

Shadows, currents and AdS fields · Modified de Donder gauge · 0.93

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