Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$
Abstract The ODE/IM correspondence is an exact link between classical and quantum integrable models. The primary purpose of this work is to show that it remains valid after T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ perturbation on both sides of the correspondence. In particular, we prove that the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)084 |
| _version_ | 1827917188292411392 |
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| author | Fabrizio Aramini Nicolò Brizio Stefano Negro Roberto Tateo |
| author_facet | Fabrizio Aramini Nicolò Brizio Stefano Negro Roberto Tateo |
| author_sort | Fabrizio Aramini |
| collection | DOAJ |
| description | Abstract The ODE/IM correspondence is an exact link between classical and quantum integrable models. The primary purpose of this work is to show that it remains valid after T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ perturbation on both sides of the correspondence. In particular, we prove that the deformed Lax pair of the sinh-Gordon model, obtained from the unperturbed one through a dynamical change of coordinates, leads to the same Burgers-type equation governing the quantum spectral flow induced by T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ . Our main conclusions have general validity, as the analysis may be easily adapted to all the known ODE/IM examples involving integrable quantum field theories. |
| first_indexed | 2024-03-13T03:25:14Z |
| format | Article |
| id | doaj.art-6eb149c2d73b458b8808692785a72260 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:14Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6eb149c2d73b458b8808692785a722602023-06-25T11:07:14ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312310.1007/JHEP03(2023)084Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$Fabrizio Aramini0Nicolò Brizio1Stefano Negro2Roberto Tateo3Dipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoDipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoCenter for Cosmology and Particle Physics, New York UniversityDipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoAbstract The ODE/IM correspondence is an exact link between classical and quantum integrable models. The primary purpose of this work is to show that it remains valid after T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ perturbation on both sides of the correspondence. In particular, we prove that the deformed Lax pair of the sinh-Gordon model, obtained from the unperturbed one through a dynamical change of coordinates, leads to the same Burgers-type equation governing the quantum spectral flow induced by T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ . Our main conclusions have general validity, as the analysis may be easily adapted to all the known ODE/IM examples involving integrable quantum field theories.https://doi.org/10.1007/JHEP03(2023)084Bethe AnsatzIntegrable Field Theories |
| spellingShingle | Fabrizio Aramini Nicolò Brizio Stefano Negro Roberto Tateo Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ Journal of High Energy Physics Bethe Ansatz Integrable Field Theories |
| title | Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ |
| title_full | Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ |
| title_fullStr | Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ |
| title_full_unstemmed | Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ |
| title_short | Deforming the ODE/IM correspondence with T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ |
| title_sort | deforming the ode im correspondence with t t ¯ textrm t overline textrm t |
| topic | Bethe Ansatz Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP03(2023)084 |
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