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.
Highlights
In the case of 3D extended superconformal field theories with N > 4, the supercurrent was introduced in [12, 13]
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
A remarkable property of N = 6 supersymmetry in three dimensions is that the supercurrent conservation equation (1.5) coincides with the Bianchi identity for an Abelian vector multiplet [13]
Summary
In the case of 3D extended superconformal field theories with N > 4, the supercurrent was introduced in [12, 13] (see [1]). 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 this paper we find the most general expressions for the two- and three-point correlation functions of the N = 5 and N = 6 supercurrent multiplets, which are allowed by the superconformal symmetry and are compatible with the conservation equations (1.3) and (1.5), respectively.
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