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Superspace formulation and correlation functions of 3d superconformal field theories

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arxiv 1308.4778 v3 pith:OXLYACQH submitted 2013-08-22 hep-th

Amin A. Nizami , Tarun Sharma , V. Umesh This is my paper · ORCID
classification hep-th
keywords functionshigherscftsspinsuperconformalsuperspaceinvariantsmathcal
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abstract

We study $3d$ SCFTs in the superspace formalism and discuss superfields and on-shell higher spin current multiplets in free $3d$ SCFTs with $\mathcal{N}= 1,2,3,4$ and $6$ superconformal symmetry. For $\mathcal{N}=1$ 3d SCFTs we determine the superconformal invariants in superspace needed for constructing 3-point functions of higher spin operators, find the non-linear relations between the invariants and consequently write down all the independent invariant structures, both parity even and odd, for various 3-point functions of higher spin operators.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Supersymmetry, differential operators of infinite order and theta functions

    math.AG 2026-08 conditional novelty 7.0 of 10

    Theta-null values are characterized as the unique solutions of a manifestly modular-invariant system of differential equations of infinite order built from the supersymmetry algebra osp(1|2n).

  2. Superspace invariants and 3-point correlators in 3d $\mathcal{N}=3,4$ SCFTs

    hep-th 2026-07 accept novelty 6.5 of 10

    N=3,4 3d SCFT 3-point spinning correlators are enumerated via superspace invariants; conserved ones fix to 1+1 (N=3) or 2+1 (N=4) structures, the extra even structure tracking mirror breaking.

  3. An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.

  4. Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory

    hep-th 2025-08 unverdicted novelty 2.0 of 10

    Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.

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