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• W4367627138 abstract "We analyse the general structure of the three-point functions of conserved higher-spin supercurrents in 3D, $mathcal{N}=1$ superconformal field theory. It is shown that supersymmetry imposes additional restrictions on correlation functions of conserved higher-spin currents. We develop a manifestly supersymmetric formalism to compute the three-point function $langle mathbf{J}^{}_{s_{1}} mathbf{J}'_{s_{2}} mathbf{J}''_{s_{3}} rangle$, where $mathbf{J}^{}_{s_{1}}$, $mathbf{J}'_{s_{2}}$ and $mathbf{J}''_{s_{3}}$ are conserved higher-spin supercurrents with superspins $s_{1}$, $s_{2}$ and $s_{3}$ respectively (integer or half-integer). Using a computational approach limited only by computer power, we analytically impose the constraints arising from the superfield conservation equations and symmetries under permutations of superspace points. Explicit solutions for three-point functions are presented and we provide a complete classification of the results for $s_{i} leq 20 $; the pattern is very clear, and we propose that our classification holds for arbitrary superspins. We demonstrate that Grassmann-even three-point functions are fixed up to one parity-even structure and one parity-odd structure, while Grassmann-odd three-point functions are fixed up to a single parity-even structure. The existence of the parity-odd structure in the Grassmann-even correlation functions is subject to a set of triangle inequalities in the superspins. For completeness, we also analyse the structure of three-point functions involving conserved higher-spin supercurrents and scalar superfields." @default.
• W4367627138 created "2023-05-02" @default.
• W4367627138 creator A5014602778 @default.
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• W4367627138 date "2023-05-01" @default.
• W4367627138 modified "2023-09-25" @default.
• W4367627138 title "Three-point functions of conserved supercurrents in 3D <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> SCFT: General formalism for arbitrary superspins" @default.
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• W4367627138 doi "https://doi.org/10.1103/physrevd.107.106001" @default.
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