Jain, Sachin ; Mandlik, Mangesh ; Minwalla, Shiraz ; Takimi, Tomohisa ; Wadia, Spenta R. ; Yokoyama, Shuichi (2015) Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter Journal of High Energy Physics, 2015 (4). ISSN 1029-8479
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Official URL: http://doi.org/10.1007/JHEP04(2015)129
Related URL: http://dx.doi.org/10.1007/JHEP04(2015)129
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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Springer Verlag. |
ID Code: | 135788 |
Deposited On: | 18 Aug 2023 07:31 |
Last Modified: | 18 Aug 2023 07:31 |
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