Quantum fishchain in AdS5

Abstract 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 l...

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Main Authors: Nikolay Gromov, Amit Sever
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)085
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author Nikolay Gromov
Amit Sever
author_facet Nikolay Gromov
Amit Sever
author_sort Nikolay Gromov
collection DOAJ
description Abstract 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 AdS5. We prove the duality at the full quantum level in the u $$ \mathfrak{u} $$ (1) sector and reproduce exactly the spectrum for the cases when it is known analytically.
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spelling doaj.art-ae7f014cf84c40ffb840a5d119242fc82022-12-21T19:20:42ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191013810.1007/JHEP10(2019)085Quantum fishchain in AdS5Nikolay Gromov0Amit Sever1Mathematics Department, King’s College LondonSchool of Physics and Astronomy, Tel Aviv UniversityAbstract 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 AdS5. We prove the duality at the full quantum level in the u $$ \mathfrak{u} $$ (1) sector and reproduce exactly the spectrum for the cases when it is known analytically.http://link.springer.com/article/10.1007/JHEP10(2019)085AdS-CFT CorrespondenceIntegrable Field Theories1/N ExpansionConformal Field Theory
spellingShingle Nikolay Gromov
Amit Sever
Quantum fishchain in AdS5
Journal of High Energy Physics
AdS-CFT Correspondence
Integrable Field Theories
1/N Expansion
Conformal Field Theory
title Quantum fishchain in AdS5
title_full Quantum fishchain in AdS5
title_fullStr Quantum fishchain in AdS5
title_full_unstemmed Quantum fishchain in AdS5
title_short Quantum fishchain in AdS5
title_sort quantum fishchain in ads5
topic AdS-CFT Correspondence
Integrable Field Theories
1/N Expansion
Conformal Field Theory
url http://link.springer.com/article/10.1007/JHEP10(2019)085
work_keys_str_mv AT nikolaygromov quantumfishchaininads5
AT amitsever quantumfishchaininads5