Unfolding mixed-symmetry fields in AdS and the BMV conjecture

I. General formalism

Nicolas Boulanger, Carlo Iazeolla, Per Sundell

Research output: Contribution to journalArticle

84 Citations (Scopus)

Abstract

We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.

Original languageEnglish
Article number013
JournalJournal of High Energy Physics
Volume2009
Issue number7
DOIs
Publication statusPublished - 2009

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modules
formalism
symmetry
degrees of freedom
tensors
gravitation

Keywords

  • Field Theories in Higher Dimensions
  • Gauge Symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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Unfolding mixed-symmetry fields in AdS and the BMV conjecture : I. General formalism. / Boulanger, Nicolas; Iazeolla, Carlo; Sundell, Per.

In: Journal of High Energy Physics, Vol. 2009, No. 7, 013, 2009.

Research output: Contribution to journalArticle

TY - JOUR

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

T2 - I. General formalism

AU - Boulanger, Nicolas

AU - Iazeolla, Carlo

AU - Sundell, Per

PY - 2009

Y1 - 2009

N2 - We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.

AB - We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.

KW - Field Theories in Higher Dimensions

KW - Gauge Symmetry

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DO - 10.1088/1126-6708/2009/07/013

M3 - Article

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

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