Gauge fields in (A)dS d within the unfolded approach: algebraic aspects

2009/10/31 by Evgeny Skvortsov, E. D. Skvortsov · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/jhep01(2010)106

published as JHEP 1001:106,2010 · 59 pages, replaced with revised verion

arxiv created 2009/12/29 · openalex publication_date 2010/01/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

It has recently been shown that generalized connections of the (A)dS space symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dS, both for massless and partially-massless. The equations of motion are equipped with a nilpotent operator called σ_- whose cohomology groups correspond to the dynamically relevant quantities like differential gauge parameters, dynamical fields, gauge invariant field equations, Bianchi identities etc. In the paper the σ_--cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the σ_--cohomology is equivalent to the ordinary Lie algebra cohomology.

Citations

• Theory of Group Representations and Applications
• First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
• On Massive High Spin Particles in (A)dS
• Parent Field Theory and Unfolding in BRST First-Quantized Terms
• On geometric equations and duality for free higher spins
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ?). Duality and Poincar� Lemma
• Infinitesimal computations in topology
• Higher Spin Superalgebras in any Dimension and their Representations
• Geometric formulation for partially massless fields
• Lagrangian formulation for free mixed-symmetry bosonic gauge fields in (A)dSd
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Nonlinear higher spin theories in various dimensions
• Exotic Tensor Gauge Theory and Duality
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ) : II. Quadratic Actions
• On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS

Cited by

• Frame-like action and unfolded formulation for massive higher-spin fields