PIRSA:14050006

Unitarity and crossing symmetry in the S-matirx of large N Chern-Simons theory with fundamental matter

Minwalla, S. (2014). Unitarity and crossing symmetry in the S-matirx of large N Chern-Simons theory with fundamental matter. Perimeter Institute. https://pirsa.org/14050006

Minwalla, Shiraz. Unitarity and crossing symmetry in the S-matirx of large N Chern-Simons theory with fundamental matter. Perimeter Institute, May. 13, 2014, https://pirsa.org/14050006 

          @misc{ pirsa_PIRSA:14050006,
            doi = {10.48660/14050006},
            url = {https://pirsa.org/14050006},
            author = {Minwalla, Shiraz},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Unitarity and crossing symmetry in the S-matirx of large N Chern-Simons theory with fundamental matter},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050006 see, \url{https://pirsa.org}}
          }

Shiraz Minwalla

Tata Institute of Fundamental Research (TIFR)

Talk number
PIRSA:14050006
Collection
Talk Type
Subject
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.