2018/07/31 by Jessica Hutomo, Sergei M. Kuzenko, Daniel X. Ogburn +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Gauge theory #Geometry #Massless particle #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Spin (aerodynamics) #Supergravity #Superspace #Supersymmetry #Type (biology) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.98.125004
published as Phys. Rev. D 98, 125004 (2018) · 48 pages; v2: comments and references added. arXiv admin note: text overlap with arXiv:1805.08055
openalex created_date 2018/08/03 · arxiv created 2018/09/04 · openalex publication_date 2018/12/10 · arxiv updated 2018/12/19 · openalex updated_date 2026/08/05
We describe several families of primary linear supermultiplets coupled to three-dimensional N=2 conformal supergravity and use them to construct topological BF-type terms. We introduce conformal higher-spin gauge superfields and associate with them Chern-Simons-type actions that are constructed as an extension of the linearized action for N=2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higher-spin generalization of the linearized N=2 super-Cotton tensor. For massless higher-spin supermultiplets in (1,1) anti-de Sitter (AdS) superspace, we propose two off-shell Lagrangian gauge formulations, which are related to each other by a duality transformation. Making use of these massless theories allows us to formulate consistent higher-spin supercurrent multiplets in (1,1) AdS superspace. Explicit examples of such supercurrent multiplets are provided for models of massive chiral supermultiplets. Off-shell formulations for massive higher-spin supermultiplets in (1,1) AdS superspace are proposed.