Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter

• Published in: The journal of high energy physics Vol. 2015; no. 4; p. 1
• Main Authors: Jain, Sachin, Mandlik, Mangesh, Minwalla, Shiraz, Takimi, Tomohisa, Wadia, Spenta R., Yokoyama, Shuichi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2015; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Elementary Particles; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Sigma Models; Duality in Gauge Field Theories; Chern-Simons Theories; 1/N Expansion
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP04(2015)129

A bstract 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.