Abstract
For general \( \mathcal{N} \) = 5 and \( \mathcal{N} \) = 6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, \( \mathcal{N} \) = 5 and \( \mathcal{N} \) = 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 \( \mathcal{N} \) = 5 superconformal field theory, considered as a special \( \mathcal{N} \) = 4 theory, is invariant under the mirror map.
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ArXiv ePrint: 1605.08208
Dedicated to the memory of Professor Nikolay G. Pletnev
On leave from Tomsk Polytechnic University, 634050 Tomsk, Russia (Igor B. Samsonov).
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Kuzenko, S.M., Samsonov, I.B. Implications of \( \mathcal{N} \) = 5, 6 superconformal symmetry in three spacetime dimensions. J. High Energ. Phys. 2016, 84 (2016). https://doi.org/10.1007/JHEP08(2016)084
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DOI: https://doi.org/10.1007/JHEP08(2016)084