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

Metsaev, R.R.

doi:10.1103/physrevd.83.106004

Cited by 19 publications

(26 citation statements)

References 92 publications

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“…[81] should streamline such a analysis. 28 Discussion of alternative methods for counting on-shell D.o.F may be found in Refs. [39,36].…”

Section: Discussionmentioning

confidence: 99%

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Ordinary-derivative formulation of conformal low-spin fields

Metsaev

2012

J. High Energ. Phys.

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Conformal fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative formulation for spin 0, 1, 2 conformal bosonic fields and first-derivative formulation for spin 1/2, 3/2 conformal fermionic fields are developed. For the spin 1, 3/2, 2 conformal fields, we obtain gauge invariant Lagrangians and the corresponding gauge transformations. Gauge symmetries are realized by involving Stueckelberg fields and auxiliary fields. Realization of global conformal boost symmetries is obtained. Modified Lorentz and de Donder gauge conditions are introduced. Ordinary-derivative Lagrangian of interacting Weyl gravity in 4d is obtained. In our approach, the field content of Weyl gravity, in addition to conformal graviton field, includes one auxiliary rank-2 symmetric tensor field and one Stueckelberg vector field. With respect to the auxiliary tensor field, the Lagrangian contains, in addition to other terms, the Pauli-Fierz mass term. Using the ordinary-derivative Lagrangian of Weyl gravity, we discuss interrelation of Einstein AdS gravity and Weyl gravity via breaking conformal gauge symmetries. Also, we demonstrate use of the light-cone gauge for counting on-shell degrees of freedom in higher-derivative conformal field theories. *

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“…[81] should streamline such a analysis. 28 Discussion of alternative methods for counting on-shell D.o.F may be found in Refs. [39,36].…”

Section: Discussionmentioning

confidence: 99%

“…To this end we use the framework of light-cone gauge approach which turns out to be convenient for our purpose. 28 Lagrangian (4.1) leads to the following equations of motion:…”

Section: Appendix a Counting Of On-shell Dof For Spin-1 Fieldmentioning

confidence: 99%

Ordinary-derivative formulation of conformal low-spin fields

Metsaev

2012

J. High Energ. Phys.

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“…10 For arbitrary values of κ, s, and d, action for massive spin-s AdS field evaluated on a solution of the Dirichlet problem was first found in refs. [19,49]. Interesting discussion of group theoretical aspects of AdS/CFT correspondence may be found in refs.…”

Section: Discussionmentioning

confidence: 99%

Long, partial-short, and special conformal fields

Metsaev

2016

J. High Energ. Phys.

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In the framework of metric-like approach, totally symmetric arbitrary spin bosonic conformal fields propagating in flat space-time are studied. Depending on the values of conformal dimension, spin, and dimension of space-time, we classify all conformal field as long, partial-short, short, and special conformal fields. An ordinary-derivative (second-derivative) Lagrangian formulation for such conformal fields is obtained. The ordinary-derivative Lagrangian formulation is realized by using double-traceless gauge fields, Stueckelberg fields, and auxiliary fields. Gauge-fixed Lagrangian invariant under global BRST transformations is obtained. The gauge-fixed BRST Lagrangian is used for the computation of partition functions for all conformal fields. Using the result for the partition functions, numbers of propagating D.o.F for the conformal fields are also found.

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“…[8,9,10] (see also Ref. [11]). Discussion of the group-theoretical issues related to the problem of computation of the effective action may be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

The BRST-BV approach to massless fields adapted for the AdS/CFT correspondence

Metsaev¹

2016

Theor Math Phys

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Using BRST-BV formulation of relativistic dynamics, arbitrary spin massless and massive field propagating in flat space and arbitrary spin massless fields propagating in AdS space are considered. For such fields, BRST-BV Lagrangians invariant under gauge transformations are obtained. The Lagrangians and gauge transformations are built in terms of traceless gauge fields and traceless gauge transformation parameters. The use of the Poincaré parametrization of AdS space allows us to get simple BRST-BV Lagrangian for AdS fields. By imposing the Siegel gauge condition, we get gauge-fixed Lagrangian which leads to decoupled equations of motion for AdS fields. Such equations of motion considerably simplify the study of AdS/CFT correspondence. In the basis of conformal algebra, realization of relativistic symmetries on space of fields and antifields entering the BRST-BV formulation of AdS fields is obtained. *

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

Cited by 19 publications

References 92 publications

Ordinary-derivative formulation of conformal low-spin fields

Ordinary-derivative formulation of conformal low-spin fields

Long, partial-short, and special conformal fields

The BRST-BV approach to massless fields adapted for the AdS/CFT correspondence

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