Unfolding mixed-symmetry fields in AdS and the BMV conjecture

II. Oscillator realization

Nicolas Boulanger, Carlo Iazeolla, Per Sundell

Resultado de la investigación: Article

64 Citas (Scopus)

Resumen

Following the general formalism presented in arXiv:0812.3615 - referred to as Paper I - we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stückelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink-Metsaev-Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev-Shaynkman-Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.

Idioma originalEnglish
Número de artículo014
PublicaciónJournal of High Energy Physics
Volumen2009
N.º7
DOI
EstadoPublished - 2009

Huella dactilar

modules
oscillators
critical mass
symmetry
equations of motion
tensors
formalism

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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abstract = "Following the general formalism presented in arXiv:0812.3615 - referred to as Paper I - we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of St{\"u}ckelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink-Metsaev-Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev-Shaynkman-Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.",
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Unfolding mixed-symmetry fields in AdS and the BMV conjecture : II. Oscillator realization. / Boulanger, Nicolas; Iazeolla, Carlo; Sundell, Per.

En: Journal of High Energy Physics, Vol. 2009, N.º 7, 014, 2009.

Resultado de la investigación: Article

TY - JOUR

T1 - Unfolding mixed-symmetry fields in AdS and the BMV conjecture

T2 - II. Oscillator realization

AU - Boulanger, Nicolas

AU - Iazeolla, Carlo

AU - Sundell, Per

PY - 2009

Y1 - 2009

N2 - Following the general formalism presented in arXiv:0812.3615 - referred to as Paper I - we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stückelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink-Metsaev-Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev-Shaynkman-Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.

AB - Following the general formalism presented in arXiv:0812.3615 - referred to as Paper I - we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stückelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink-Metsaev-Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev-Shaynkman-Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.

KW - Field Theories in Higher Dimensions

KW - Gauge Symmetry

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U2 - 10.1088/1126-6708/2009/07/014

DO - 10.1088/1126-6708/2009/07/014

M3 - Article

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

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M1 - 014

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