Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2
Abstract We propose a procedure to derive quantum spectral curves of AdS/CFT type by requiring that a specially designed analytic continuation around the branch point results in an automorphism of the underlying algebraic structure. In this way we derive four new curves. Two are based on SU(2|2) sym...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)192 |
| _version_ | 1818355865063784448 |
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| author | Simon Ekhammar Dmytro Volin |
| author_facet | Simon Ekhammar Dmytro Volin |
| author_sort | Simon Ekhammar |
| collection | DOAJ |
| description | Abstract We propose a procedure to derive quantum spectral curves of AdS/CFT type by requiring that a specially designed analytic continuation around the branch point results in an automorphism of the underlying algebraic structure. In this way we derive four new curves. Two are based on SU(2|2) symmetry, and we show that one of them, under the assumption of square root branch points, describes Hubbard model. Two more are based on SU(2|2) × SU(2|2). In the special subcase of zero central charge, they both reduce to the unique nontrivial curve which furthermore has analytic properties compatible with PSU(1, 1|2) × PSU(1, 1|2) real form. A natural conjecture follows that this is the quantum spectral curve of AdS/CFT integrable system with AdS3 × S3 × T4 background supported by RR-flux. We support the conjecture by verifying its consistency with the massive sector of asymptotic Bethe equations in the large volume regime. For this spectral curve, it is compulsory that branch points are not of the square root type which qualitatively distinguishes it from the previously known cases. |
| first_indexed | 2024-12-13T19:48:06Z |
| format | Article |
| id | doaj.art-0e552e6b4a1f481cba597eb7aaa693d6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T19:48:06Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0e552e6b4a1f481cba597eb7aaa693d62022-12-21T23:33:30ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022316010.1007/JHEP03(2022)192Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2Simon Ekhammar0Dmytro Volin1Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract We propose a procedure to derive quantum spectral curves of AdS/CFT type by requiring that a specially designed analytic continuation around the branch point results in an automorphism of the underlying algebraic structure. In this way we derive four new curves. Two are based on SU(2|2) symmetry, and we show that one of them, under the assumption of square root branch points, describes Hubbard model. Two more are based on SU(2|2) × SU(2|2). In the special subcase of zero central charge, they both reduce to the unique nontrivial curve which furthermore has analytic properties compatible with PSU(1, 1|2) × PSU(1, 1|2) real form. A natural conjecture follows that this is the quantum spectral curve of AdS/CFT integrable system with AdS3 × S3 × T4 background supported by RR-flux. We support the conjecture by verifying its consistency with the massive sector of asymptotic Bethe equations in the large volume regime. For this spectral curve, it is compulsory that branch points are not of the square root type which qualitatively distinguishes it from the previously known cases.https://doi.org/10.1007/JHEP03(2022)192AdS-CFT CorrespondenceBethe AnsatzIntegrable Field TheoriesQuantum Groups |
| spellingShingle | Simon Ekhammar Dmytro Volin Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 Journal of High Energy Physics AdS-CFT Correspondence Bethe Ansatz Integrable Field Theories Quantum Groups |
| title | Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 |
| title_full | Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 |
| title_fullStr | Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 |
| title_full_unstemmed | Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 |
| title_short | Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS3/CFT2 |
| title_sort | monodromy bootstrap for su 2 2 quantum spectral curves from hubbard model to ads3 cft2 |
| topic | AdS-CFT Correspondence Bethe Ansatz Integrable Field Theories Quantum Groups |
| url | https://doi.org/10.1007/JHEP03(2022)192 |
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