Lagrangian formulation of the massless higher integer spin fields in the AdS background

By I. Buchbinder, A. Pashnev, M. Tsulaia. 2001

151 citations recorded by the source corpus.

Abstract We construct the Lagrangian description of arbitrary integer higher-spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions for irreducible unitary massless representations of the D-dimensional anti-de Sitter group are formulated. Unlike flat space, the algebra of the constraints turns out to be nonlinear and analogous to the W 3 algebra. We construct the nilpotent BRST charge for this nonlinear algebra and derive on its basis the correct field content and gauge invariant action describing the consistent arbitrary integer-spin field dynamics in AdS space.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/56567a12af677917778eb2b5627833718f0e6223

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space (2006, methodology): “Such a situation was considered in [23] where the higher spin massless bosonic fields in AdS space were studied.”
Conformal higher spin theory (2002, background): “They admit generalization to d-dimensional anti de Sitter space [16], [17], [18], [19], [57].”
On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory (2008, methodology): “To this end, we work within the metric-like formulation and start from the free Lagrangian L2 +L3 where Fronsdal’s Lagrangian for a symmetric rank-s tensor gauge field in AdSD reads [17] − Ls √−ḡ = 1 2 ∇μφα1.”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “Higher Spin (HS) gauge theories (see [1–9] for recent reviews) are usually formulated in two different ways: in frame-like [10–20] or in metric-like [21–77] approaches.”
Parent Field Theory and Unfolding in BRST First-Quantized Terms (2004, unknown): “Reduction to the original system 23 4.3.”
Light-front holographic QCD and emerging confinement (2014, background): “The description of higher spin in AdS space is a notoriously difficult problem [83, 84, 85, 86, 87, 88, 89, 90], and thus there is much interest in finding a simplified approach which can describe higher-spin hadrons using the gauge/gravity duality.”