Implications of N=5, 6 superconformal symmetry in three spacetime dimensions

Abstract

For general N=5 and N=6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, N=5 and N=6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal Ward identities, to the parameter in the two-point function of the supercurrent. The structure of the correlation functions obtained is consistent with the property that every N=5 superconformal field theory, considered as a special N=4 theory, is invariant under the mirror map.

25 pages

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• Off-shell superconformal nonlinear sigma-models in three dimensions
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Implications of N=4 superconformal symmetry in three spacetime dimensions

Cited by in corpus (14)

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• Mixed three-point functions of conserved currents in three-dimensional superconformal field theory
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• Correlation functions of spinor current multiplets in $\mathcal{N}=1$ superconformal theory
• Superconformal invariants and spinning correlators in 3d $\mathcal{N}=2$ SCFTs
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Three-point functions of conserved currents in 3D CFT: general formalism for arbitrary spins
• Three-point functions of conserved currents in 4D CFT: general formalism for arbitrary spins
• Three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Grassmann-odd three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Three-point functions of fermionic higher-spin currents in 4D conformal field theory
• Three-point functions of higher-spin spinor current multiplets in $\mathcal{N}=1$ superconformal theory