TBA equations and quantum periods for D-type Argyres-Douglas theories
Abstract We construct TBA equations for D-type Argyres-Douglas theories with an SU(2) flavor symmetry based on their spectral networks. We show that the solutions of these TBA equations agree with the quantum periods of the corresponding quantum Seiberg-Witten curves defined in the Nekrasov-Shatashv...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)047 |
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| author | Katsushi Ito Jingjing Yang |
| author_facet | Katsushi Ito Jingjing Yang |
| author_sort | Katsushi Ito |
| collection | DOAJ |
| description | Abstract We construct TBA equations for D-type Argyres-Douglas theories with an SU(2) flavor symmetry based on their spectral networks. We show that the solutions of these TBA equations agree with the quantum periods of the corresponding quantum Seiberg-Witten curves defined in the Nekrasov-Shatashvili limit of the Omega background, including a centrifugal correction. We study the variety of TBA systems across the Coulomb branch moduli space and find that they correspond to the Dynkin diagrams of D n Lie algebras in the minimal chamber, and reproduce the TBA equations for reflectionless D scattering theories at the maximally symmetric point. Numerical computations demonstrate that the quantum periods obtained from the Borel-Padé resummation and their WKB expansions are in agreement with the solutions of the TBA equations. |
| format | Article |
| id | doaj-art-e117a054c803415cb68d27d5f7973a42 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e117a054c803415cb68d27d5f7973a422025-01-19T12:07:11ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114310.1007/JHEP01(2025)047TBA equations and quantum periods for D-type Argyres-Douglas theoriesKatsushi Ito0Jingjing Yang1Department of Physics, Tokyo Institute of TechnologyDepartment of Physics, Tokyo Institute of TechnologyAbstract We construct TBA equations for D-type Argyres-Douglas theories with an SU(2) flavor symmetry based on their spectral networks. We show that the solutions of these TBA equations agree with the quantum periods of the corresponding quantum Seiberg-Witten curves defined in the Nekrasov-Shatashvili limit of the Omega background, including a centrifugal correction. We study the variety of TBA systems across the Coulomb branch moduli space and find that they correspond to the Dynkin diagrams of D n Lie algebras in the minimal chamber, and reproduce the TBA equations for reflectionless D scattering theories at the maximally symmetric point. Numerical computations demonstrate that the quantum periods obtained from the Borel-Padé resummation and their WKB expansions are in agreement with the solutions of the TBA equations.https://doi.org/10.1007/JHEP01(2025)047Supersymmetric Gauge TheoryIntegrable Field Theories |
| spellingShingle | Katsushi Ito Jingjing Yang TBA equations and quantum periods for D-type Argyres-Douglas theories Journal of High Energy Physics Supersymmetric Gauge Theory Integrable Field Theories |
| title | TBA equations and quantum periods for D-type Argyres-Douglas theories |
| title_full | TBA equations and quantum periods for D-type Argyres-Douglas theories |
| title_fullStr | TBA equations and quantum periods for D-type Argyres-Douglas theories |
| title_full_unstemmed | TBA equations and quantum periods for D-type Argyres-Douglas theories |
| title_short | TBA equations and quantum periods for D-type Argyres-Douglas theories |
| title_sort | tba equations and quantum periods for d type argyres douglas theories |
| topic | Supersymmetric Gauge Theory Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP01(2025)047 |
| work_keys_str_mv | AT katsushiito tbaequationsandquantumperiodsfordtypeargyresdouglastheories AT jingjingyang tbaequationsandquantumperiodsfordtypeargyresdouglastheories |