Abstract
We introduce the conformal field theories that describe the shadows of the lowest dimension composites made out of massless free scalars and fermions in d dimensions. We argue that these theories can be consistently defined as free CFTs for even d ≥ 4. We use OPE techniques to study their spectrum and show that for d → ∞ it matches that of free bosonic CFTs in d = 6 and d = 4 dimensions. For these σCFTs we calculate c T in d = 6, 8, 10 and 12 dimensions using the OPE and also a direct construction of their higher-derivative energy momentum tensors. Our results agree with the general proposal of arXiv:1601.07198.
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Guerrieri, A.L., Petkou, A.C. & Wen, C. The free σCFTs. J. High Energ. Phys. 2016, 19 (2016). https://doi.org/10.1007/JHEP09(2016)019
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DOI: https://doi.org/10.1007/JHEP09(2016)019