We propose higher spin supercurrent multiplets for N = 1 supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of N massive chiral scalar superfields with an arbitrary mass matrix. We also present new offshell gauge formulations for the massless N = 1 supersymmetric multiplet of integer superspin s in AdS, where s = 2, 3, . . . , as well as for the massless gravitino multiplet (superspin s = 1) which requires special consideration.
In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s + 1 2 ), where s = 2, 3, . . . . These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are dual to each other and describe two massless fields of spin (s + 1 2 ) and (s + 1) upon elimination of the auxiliary fields. They respectively reduce, in the limiting case of s = 1, to the linearised actions for the old minimal and the n = −1 non-minimal N = 1 supergravity theories. Associated with these gauge massless theories are non-conformal higher spin supercurrent multiplets which we describe. We demonstrate that the longitudinal higher spin supercurrents are realised in the model for a massive chiral scalar superfield only if s is odd, s = 2n + 1, with n = 1, 2, . . . .
We propose a new off-shell formulation for the massless N = 1 supersymmetric multiplet of integer superspin s in four dimensions, where s = 2, 3, . . . (the s = 1 case corresponds to the gravitino multiplet). Its gauge freedom matches that of the superconformal superspin-s multiplet described in arXiv:1701.00682. The gaugeinvariant action involves two compensating multiplets in addition to the superconformal superspin-s multiplet. Upon imposing a partial gauge fixing, this action reduces to the one describing the so-called longitudinal formulation for the massless superspin-s multiplet. Our new model is shown to possess a dual realisation obtained by applying a superfield Legendre transformation. We present a nonconformal higher spin supercurrent multiplet associated with the new integer superspin theory. This fermionic supercurrent is shown to occur in the Fayet-Sohnius model for a massive N = 2 hypermultiplet. We also give a new off-shell realisation for the massless gravitino multiplet.
We describe several families of primary linear supermultiplets coupled to threedimensional 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 linearised action for N = 2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higherspin generalisation of the linearised 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 dually 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. Dedicated to Professor Ioseph L. Buchbinder on the occasion of his 70th birthday 8 Higher-spin supercurrents for chiral matter: Integer superspin 36 9 Concluding comments 38 A Notation, conventions and AdS identities 40 B N = 2 → N = 1 superspace reduction 42
We demonstrate theoretically a large transverse magneto-optical Kerr effect (TMOKE) in subwavelength gratings consisting of alternating magneto-insulating and nonmagnetic dielectric nanostripes. The reflectivity of the grating reaches 96% at the frequencies corresponding to the maximum of the TMOKE response. The combination of a large TMOKE response and high reflectivity is important for applications in 3D imaging, magneto-optical data storage, and magnonics.
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