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Thermodynamic Bethe Ansatz for Fishnet CFT
We present the TBA equations for the exact spectrum of multi-magnon local operators in the D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multiwheel and multispiral type. These graphs probe the two key building blocks of the TBA...
| Autores principales: | , , , |
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| Lenguaje: | eng |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevLett.125.091601 http://cds.cern.ch/record/2705372 |
| _version_ | 1780964806811975680 |
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| author | Basso, Benjamin Ferrando, Gwenaël Kazakov, Vladimir Zhong, De-liang |
| author_facet | Basso, Benjamin Ferrando, Gwenaël Kazakov, Vladimir Zhong, De-liang |
| author_sort | Basso, Benjamin |
| collection | CERN |
| description | We present the TBA equations for the exact spectrum of multi-magnon local operators in the D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multiwheel and multispiral type. These graphs probe the two key building blocks of the TBA approach, the magnon dispersion relation and scattering matrix, which we obtain by diagonalizing suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, D-dimensional graphs to two-dimensional sigma models in AdSD+1. |
| id | cern-2705372 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2019 |
| record_format | invenio |
| spelling | cern-27053722023-10-04T07:35:45Zdoi:10.1103/PhysRevLett.125.091601http://cds.cern.ch/record/2705372engBasso, BenjaminFerrando, GwenaëlKazakov, VladimirZhong, De-liangThermodynamic Bethe Ansatz for Fishnet CFTnlin.SINonlinear Systemsmath.MPMathematical Physics and Mathematicsmath-phMathematical Physics and Mathematicshep-thParticle Physics - TheoryWe present the TBA equations for the exact spectrum of multi-magnon local operators in the D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multiwheel and multispiral type. These graphs probe the two key building blocks of the TBA approach, the magnon dispersion relation and scattering matrix, which we obtain by diagonalizing suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, D-dimensional graphs to two-dimensional sigma models in AdSD+1.We present the TBA equations and the Y-system for the exact spectrum of general multi-magnon local operators in the $D$-dimensional anisotropic version of the bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multi-wheel and multi-spiral type. These graphs probe the two main building blocks of the TBA approach that are the magnon dispersion relation and the magnon scattering matrix and which we both obtain by diagonalising suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, $D$-dimensional graphs to two dimensional sigma models in $AdS_{D+1}$. It allows us to verify a general formula obtained by A.~Zamolodchikov for the critical coupling.arXiv:1911.10213oai:cds.cern.ch:27053722019-11-22 |
| spellingShingle | nlin.SI Nonlinear Systems math.MP Mathematical Physics and Mathematics math-ph Mathematical Physics and Mathematics hep-th Particle Physics - Theory Basso, Benjamin Ferrando, Gwenaël Kazakov, Vladimir Zhong, De-liang Thermodynamic Bethe Ansatz for Fishnet CFT |
| title | Thermodynamic Bethe Ansatz for Fishnet CFT |
| title_full | Thermodynamic Bethe Ansatz for Fishnet CFT |
| title_fullStr | Thermodynamic Bethe Ansatz for Fishnet CFT |
| title_full_unstemmed | Thermodynamic Bethe Ansatz for Fishnet CFT |
| title_short | Thermodynamic Bethe Ansatz for Fishnet CFT |
| title_sort | thermodynamic bethe ansatz for fishnet cft |
| topic | nlin.SI Nonlinear Systems math.MP Mathematical Physics and Mathematics math-ph Mathematical Physics and Mathematics hep-th Particle Physics - Theory |
| url | https://dx.doi.org/10.1103/PhysRevLett.125.091601 http://cds.cern.ch/record/2705372 |
| work_keys_str_mv | AT bassobenjamin thermodynamicbetheansatzforfishnetcft AT ferrandogwenael thermodynamicbetheansatzforfishnetcft AT kazakovvladimir thermodynamicbetheansatzforfishnetcft AT zhongdeliang thermodynamicbetheansatzforfishnetcft |