Higgs phenomenon for higher spin fields on AdS_3

Abstract

In a previous work, a marginal deformation of 2d coset type model with N=3 superconformal symmetry was studied, and it was interpreted as a change of boundary conditions for bulk fields in the dual higher spin theory. The deformation breaks generic higher spin gauge symmetry, and the generated mass of a spin 2 field was computed. The deformation might be related to the introduction of finite string tension in a superstring theory. In this paper, we extend the analysis and compute the masses of generic higher spin fields at the leading order of 1/c (c is the CFT central charge) but at the full order of the deformation parameter. We find that the masses are not generated for so(3)_R singlet higher spin fields at this order and the spectrum is the Regge-like one for so(3)_R triplet higher spin-charged fields.

29 pages, 4 figures, minor changes, references added, version to appear in JHEP

References in corpus (10)

• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Spinning AdS Propagators
• Higher Spins & Strings
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Higher spin AdS_3 holography with extended supersymmetry
• The symmetry of large N=4 holography
• Extended supersymmetry in AdS_3 higher spin theories
• Higher spins in the symmetric orbifold of K3

Cited by in corpus (10)

• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• Anomalous dimensions of higher spin currents in large N CFTs
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Three Point Functions in the N=4 Orthogonal Coset Theory
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Fermionic Construction in the Supersymmetric Coset Model