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Correlation Functions of Conserved Currents in N = 2 Superconformal Theory

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arxiv hep-th/9907107 v3 pith:Q5JOIVVK submitted 1999-07-14 hep-th

classification hep-th
keywords functionscorrelationgeneralsuperconformalsupercurrentanomaliescompareconserved
verification ladder T0 review T1 audit T2 compute T3 formal
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Using a manifestly supersymmetric formalism, we determine the general structure of two- and three- point functions of the supercurrent and the flavour current of N = 2 superconformal field theories. We also express them in terms of N = 1 superfields and compare to the generic N = 1 correlation functions. A general discussion of the N = 2 supercurrent superfield and the multiplet of anomalies and their definition as derivatives with respect to the supergravity prepotentials is also included.

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Cited by 5 Pith papers

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

  1. Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.

  2. Symmetric formulation for higher spin correlators, quantum effective action and anomaly

    hep-th 2026-08 conditional novelty 6.0 of 10

    The trace anomaly of the higher-spin conformal effective action is shown to be the single source of both trace and gauge anomalies, with a 2s-derivative structure in d=4.

  3. Linearized $\mathcal{N}=2$ conformal supergravity in the harmonic approach

    hep-th 2025-11 conditional novelty 6.0 of 10

    The first harmonic-superspace action for linearized N=2 conformal supergravity is constructed and shown to be superconformally invariant in both harmonic and chiral superspaces.

  4. Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins

    hep-th 2025-05 conditional novelty 6.0 of 10

    For equal-spin currents up to spin four, conserved three-point correlators can be constructed explicitly as linear combinations of products of spin-one and spin-two Osborn-Petkou building blocks.

  5. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

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