Abstract
We present explicit computations and conjectures for 2 → 2 scattering matrices in large N U(N ) Chern-Simons theories coupled to fundamental bosonic or fermionic matter to all orders in the ’t Hooft coupling expansion. The bosonic and fermionic S-matrices map to each other under the recently conjectured Bose-Fermi duality after a level-rank transposition. The S-matrices presented in this paper may be regarded as relativistic generalization of Aharonov-Bohm scattering. They have unusual structural features: they include a non-analytic piece localized on forward scattering, and obey modified crossing symmetry rules. We conjecture that these unusual features are properties of S-matrices in all Chern-Simons matter theories. The S-matrix in one of the exchange channels in our paper has an anyonic character; the parameter map of the conjectured Bose-Fermi duality may be derived by equating the anyonic phase in the bosonic and fermionic theories.
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Jain, S., Mandlik, M., Minwalla, S. et al. Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter. J. High Energ. Phys. 2015, 129 (2015). https://doi.org/10.1007/JHEP04(2015)129
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DOI: https://doi.org/10.1007/JHEP04(2015)129