Higher-spin gauge models with (1,1) supersymmetry in AdS${}_3$: Reduction to (1,0) superspace

Abstract

In three dimensions, there are two types of $\mathcal{N}=2$ anti-de Sitter (AdS) supersymmetry, which are denoted (1,1) and (2,0). They are characterised by different supercurrents and support different families of higher-spin gauge models (massless and massive) which were constructed in arXiv:1807.09098 and arXiv:1809.00802 for the (1,1) and (2,0) cases, respectively, using superspace techniques. It turns out that the precise difference between the (1,1) and (2,0) higher-spin supermultiplets can be pinned down by reducing these gauge theories to (1,0) AdS superspace. The present paper is devoted to the $(1,1)\to (1,0)$ AdS superspace reduction. In conjunction with the outcomes of the $(2,0)\to (1,0)$ AdS superspace reduction carried out in arXiv:1905.05050, we demonstrate that every known higher-spin theory with (1,1) or (2,0) AdS supersymmetry decomposes into a sum of two off-shell (1,0) supermultiplets which belong to four series of inequivalent higher-spin gauge models. The latter are reduced to components.

arXiv commentV2: 78 pages. References, comments and a new appendix added, published version

References in corpus (31)

• Quantum W-symmetry in AdS_3
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• Frame-like gauge invariant formulation for massive high spin particles
• Off-shell supergravity-matter couplings in three dimensions
• On Higher Derivatives in 3D Gravity and Higher Spin Gauge Theories
• Conformal supergravity in three dimensions: New off-shell formulation
• Three-dimensional N=2 (AdS) supergravity and associated supercurrents
• Field theory in 4D N=2 conformally flat superspace
• Off-shell massive N=1 supermultiplets in three dimensions
• Three-dimensional (p,q) AdS superspaces and matter couplings
• Three-dimensional N=2 supergravity theories: From superspace to components
• On the Superconformal Flatness of AdS Superspaces
• N=2 supersymmetric sigma-models in AdS
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Higher derivative couplings and massive supergravity in three dimensions
• The structure of N=2 supersymmetric nonlinear sigma models in AdS_4
• A spin-4 analog of 3D massive gravity
• Higher spin super-Cotton tensors and generalisations of the linear-chiral duality in three dimensions
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• Conformal geometry and (super)conformal higher-spin gauge theories
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• Lagrangian description of massive higher spin supermultiplets in AdS_3 space
• Quantization of Higher Spin Superfields in the anti-de Sitter Superspace
• Topologically massive higher spin gauge theories
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions
• Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace

Cited by in corpus (1)

• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions