Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra
Abstract Two dimensional conformal field theories with the extended W 3 $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are prec...
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| Format: | Article |
| Language: | English |
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SpringerOpen
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)154 |
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| author | Sujay K. Ashok Sanhita Parihar Tanmoy Sengupta Adarsh Sudhakar Roberto Tateo |
| author_facet | Sujay K. Ashok Sanhita Parihar Tanmoy Sengupta Adarsh Sudhakar Roberto Tateo |
| author_sort | Sujay K. Ashok |
| collection | DOAJ |
| description | Abstract Two dimensional conformal field theories with the extended W 3 $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the W 3 $$ {\mathcal{W}}_3 $$ algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy. |
| format | Article |
| id | doaj-art-84745ff5fbf44686bb311d3e0a630968 |
| 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-84745ff5fbf44686bb311d3e0a6309682025-02-09T12:08:00ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112410.1007/JHEP01(2025)154Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebraSujay K. Ashok0Sanhita Parihar1Tanmoy Sengupta2Adarsh Sudhakar3Roberto Tateo4The Institute of Mathematical SciencesThe Institute of Mathematical SciencesThe Institute of Mathematical SciencesThe Institute of Mathematical SciencesDipartimento di Fisica, Università di Torino, INFN Sezione di TorinoAbstract Two dimensional conformal field theories with the extended W 3 $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the W 3 $$ {\mathcal{W}}_3 $$ algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy.https://doi.org/10.1007/JHEP01(2025)154Conformal and W SymmetryIntegrable Field TheoriesIntegrable Hierarchies |
| spellingShingle | Sujay K. Ashok Sanhita Parihar Tanmoy Sengupta Adarsh Sudhakar Roberto Tateo Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra Journal of High Energy Physics Conformal and W Symmetry Integrable Field Theories Integrable Hierarchies |
| title | Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra |
| title_full | Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra |
| title_fullStr | Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra |
| title_full_unstemmed | Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra |
| title_short | Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra |
| title_sort | thermal correlators and currents of the w 3 mathcal w 3 algebra |
| topic | Conformal and W Symmetry Integrable Field Theories Integrable Hierarchies |
| url | https://doi.org/10.1007/JHEP01(2025)154 |
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