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Abstract
In four spacetime dimensions, all N = 1 supergravitymatter systems can be formulated in the socalled U(1) superspace proposed by Howe in 1981. This paper is devoted to the study of those geometric structures which characterise a background U(1) superspace and are important in the context of supersymmetric field theory in curved space. We introduce (conformal) Killing tensor superfields ℓ(α1…αm)(α⋅1…α⋅n), with m and n nonnegative integers, m + n > 0, and elaborate on their significance in the following cases: (i) m = n = 1; (ii) m − 1 = n = 0; and (iii) m = n > 1. The (conformal) Killing vector superfields ℓ _{α} _{α⋅} generate the (conformal) isometries of curved superspace, which are symmetries of every (conformal) supersymmetric field theory. The (conformal) Killing spinor superfields ℓ_{α} generate extended (conformal) supersymmetry transformations. The (conformal) Killing tensor superfields with m = n > 1 prove to generate all higher symmetries of the (massless) massive WessZumino operator.
Original language  English 

Article number  133 
Journal  Journal of High Energy Physics 
Volume  2020 
Issue number  4 
DOIs  
Publication status  Published  1 Apr 2020 
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 1 Active

Advances in Conformal Field Theory with Extended Symmetry
Kuzenko, S., Buchbinder, E., Theisen, S. & Tseytlin, A.
1/01/20 → 31/12/22
Project: Research