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Abstract
We elaborate on conformal higherspin gauge theory in threedimensional (3D) curved space. For any integer n > 2 we introduce a conformal spinn2 gauge field h(n)=hα1…αn (with n spinor indices) of dimension (2 − n/2) and argue that it possesses a Weyl primary descendant C(n) of dimension (1 + n/2). The latter proves to be divergenceless and gauge invariant in any conformally flat space. Primary fields C(3) and C(4) coincide with the linearised Cottino and Cotton tensors, respectively. Associated with C(n) is a ChernSimonstype action that is both Weyl and gauge invariant in any conformally flat space. These actions, which for n = 3 and n = 4 coincide with the linearised actions for conformal gravitino and conformal gravity, respectively, are used to construct gaugeinvariant models for massive higherspin fields in Minkowski and antide Sitter space. In the former case, the higherderivative equations of motion are shown to be equivalent to those firstorder equations which describe the irreducible unitary massive spinn2 representations of the 3D Poincaré group. Finally, we develop N= 1 supersymmetric extensions of the above results. © 2018, The Author(s).
Original language  English 

Article number  160 
Pages (fromto)  160 
Journal  Journal of High Energy Physics 
Volume  2018 
Issue number  10 
DOIs  
Publication status  Published  Oct 2018 
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 1 Finished

Advances in HIgher Spin Gauge Theory
Kuzenko, S., Sorokin, D. & Vasiliev, M.
1/01/16 → 31/12/19
Project: Research