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Quantum Fishchain in $AdS_5$
In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/JHEP10(2019)085 http://cds.cern.ch/record/2683308 |
| _version_ | 1780963237222678528 |
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| author | Gromov, Nikolay Sever, Amit |
| author_facet | Gromov, Nikolay Sever, Amit |
| author_sort | Gromov, Nikolay |
| collection | CERN |
| description | In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in AdS$_{5}$. We prove the duality at the full quantum level in the $ \mathfrak{u} $ (1) sector and reproduce exactly the spectrum for the cases when it is known analytically. |
| id | cern-2683308 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2019 |
| record_format | invenio |
| spelling | cern-26833082023-10-04T08:57:53Zdoi:10.1007/JHEP10(2019)085http://cds.cern.ch/record/2683308engGromov, NikolaySever, AmitQuantum Fishchain in $AdS_5$math.MPMathematical Physics and Mathematicsmath-phMathematical Physics and Mathematicshep-thParticle Physics - TheoryIn our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in AdS$_{5}$. We prove the duality at the full quantum level in the $ \mathfrak{u} $ (1) sector and reproduce exactly the spectrum for the cases when it is known analytically.In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in $AdS_5$. We prove the duality at the full quantum level in the ${\mathfrak u}(1)$ sector and reproduce exactly the spectrum for the cases when it is known analytically.arXiv:1907.01001CERN-TH-2019-143oai:cds.cern.ch:26833082019-07-01 |
| spellingShingle | math.MP Mathematical Physics and Mathematics math-ph Mathematical Physics and Mathematics hep-th Particle Physics - Theory Gromov, Nikolay Sever, Amit Quantum Fishchain in $AdS_5$ |
| title | Quantum Fishchain in $AdS_5$ |
| title_full | Quantum Fishchain in $AdS_5$ |
| title_fullStr | Quantum Fishchain in $AdS_5$ |
| title_full_unstemmed | Quantum Fishchain in $AdS_5$ |
| title_short | Quantum Fishchain in $AdS_5$ |
| title_sort | quantum fishchain in $ads_5$ |
| topic | math.MP Mathematical Physics and Mathematics math-ph Mathematical Physics and Mathematics hep-th Particle Physics - Theory |
| url | https://dx.doi.org/10.1007/JHEP10(2019)085 http://cds.cern.ch/record/2683308 |
| work_keys_str_mv | AT gromovnikolay quantumfishchaininads5 AT severamit quantumfishchaininads5 |