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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.11748 |
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| _version_ | 1866912073531785216 |
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| author | Ashok, Sujay K. Parihar, Sanhita Sengupta, Tanmoy Sudhakar, Adarsh Tateo, Roberto |
| author_facet | Ashok, Sujay K. Parihar, Sanhita Sengupta, Tanmoy Sudhakar, Adarsh Tateo, Roberto |
| contents | Two dimensional conformal field theories with the extended $\mathcal{W}_3$ 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 W3 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermal Correlators and Currents of the $\mathcal{W}_3$ Algebra Ashok, Sujay K. Parihar, Sanhita Sengupta, Tanmoy Sudhakar, Adarsh Tateo, Roberto High Energy Physics - Theory Two dimensional conformal field theories with the extended $\mathcal{W}_3$ 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 W3 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. |
| title | Thermal Correlators and Currents of the $\mathcal{W}_3$ Algebra |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.11748 |