Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter
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 recen...
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| Published in | The journal of high energy physics Vol. 2015; no. 4; p. 1 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2015
Springer Nature B.V |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. We present explicit computations and conjectures for 2 [arrow right] 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. |
| ArticleNumber | 129 |
| Author | Minwalla, Shiraz Mandlik, Mangesh Jain, Sachin Wadia, Spenta R. Takimi, Tomohisa Yokoyama, Shuichi |
| Author_xml | – sequence: 1 givenname: Sachin surname: Jain fullname: Jain, Sachin organization: Department of Theoretical Physics, Tata Institute of Fundamental Research – sequence: 2 givenname: Mangesh surname: Mandlik fullname: Mandlik, Mangesh email: mangesh@theory.tifr.res.in organization: Department of Theoretical Physics, Tata Institute of Fundamental Research – sequence: 3 givenname: Shiraz surname: Minwalla fullname: Minwalla, Shiraz organization: Department of Theoretical Physics, Tata Institute of Fundamental Research, School of Natural Sciences, Institute for Advanced Study – sequence: 4 givenname: Tomohisa surname: Takimi fullname: Takimi, Tomohisa organization: Harish-Chandra Research Institute – sequence: 5 givenname: Spenta R. surname: Wadia fullname: Wadia, Spenta R. organization: Department of Theoretical Physics, Tata Institute of Fundamental Research, International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, TIFR Centre Building, Indian Institute of Science – sequence: 6 givenname: Shuichi surname: Yokoyama fullname: Yokoyama, Shuichi organization: Department of Theoretical Physics, Tata Institute of Fundamental Research |
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| Keywords | Sigma Models Duality in Gauge Field Theories Chern-Simons Theories 1/N Expansion |
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bstract
We present explicit computations and conjectures for 2 → 2 scattering matrices in large
N
U(
N
) Chern-Simons theories coupled to fundamental bosonic... We present explicit computations and conjectures for 2 [arrow right] 2 scattering matrices in large N U(N ) Chern-Simons theories coupled to fundamental... |
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| SubjectTerms | 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 |
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| Title | Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter |
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