Abstract
We study four-point functions in Chern-Simons vector models in the large N limit. We compute the four-point function of the scalar primary to all orders in the ‘t Hooft coupling λ = N/k in U (N ) k Chern-Simons theory coupled to a fundamental fermion, in both the critical and non-critical theory, for a particular case of the external momenta. These theories cover the entire 3-parameter “quasi-boson” and 2-parameter “quasi-fermion” families of 3-dimensional quantum field theories with a slightly-broken higher spin symmetry. Our results are consistent with the celebrated bosonization duality, as we explicitly verify by calculating four-point functions in the free critical and non-critical bosonic theories.
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Bedhotiya, A., Prakash, S. A test of bosonization at the level of four-point functions in Chern-Simons vector models. J. High Energ. Phys. 2015, 1–20 (2015). https://doi.org/10.1007/JHEP12(2015)032
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DOI: https://doi.org/10.1007/JHEP12(2015)032