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Abstract
We consider N=1 superconformal field theories in three dimensions possessing a conserved current multiplet F(α1α2α3α4), which we refer to as the superspin2 current multiplet. At the component level it contains a conserved spin2 current different from the energymomentum tensor and a conserved fermionic higherspin current of spin 5/2. Using a superspace formulation, we calculate correlation functions involving F, focusing particularly on the threepoint function FFF . After imposing the constraints arising from conservation equations and invariance under permutation of superspace points, we find that the parityeven and parityodd sectors of this threepoint function are each fixed up to a single coefficient. The presence of the parityodd contribution is rather nontrivial, as there is an apparent tension between supersymmetry and the existence of parityodd structures.
Original language  English 

Article number  106004 
Journal  Physical Review D 
Volume  104 
Issue number  10 
DOIs  
Publication status  Published  15 Nov 2021 
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Dive into the research topics of 'Threepoint functions of a superspin2 current multiplet in 3D, N=1 superconformal theory'. Together they form a unique fingerprint.Projects
 1 Finished

Advances in Conformal Field Theory with Extended Symmetry
Kuzenko, S., Buchbinder, E., Theisen, S. & Tseytlin, A.
1/01/20 → 31/12/23
Project: Research
Research output
 8 Citations
 1 Doctoral Thesis

Correlation functions of conserved currents in (super)conformal field theory
Stone, B., 2023, (Unpublished)Research output: Thesis › Doctoral Thesis
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