Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914461165551616 |
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| author | Ide, Daichi Ito, Katsushi Kono, Wataru |
| author_facet | Ide, Daichi Ito, Katsushi Kono, Wataru |
| contents | We study the ODE/IM correspondence for the ordinary differential equation associated with the affine Lie algebra $E_6^{(1)}$. The WKB expansion of the solution of the ODE is performed by the diagonalization method, and the period integrals of the WKB coefficients along the Pochhammer contour are calculated. We also compute the integrals of motion on a cylinder in two-dimensional conformal field theory with W-symmetry associated with $E_6^{(1)}$. Their eigenvalues on the highest-weight state are shown to agree with the period integrals up to the sixth order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07829 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence Ide, Daichi Ito, Katsushi Kono, Wataru High Energy Physics - Theory Mathematical Physics We study the ODE/IM correspondence for the ordinary differential equation associated with the affine Lie algebra $E_6^{(1)}$. The WKB expansion of the solution of the ODE is performed by the diagonalization method, and the period integrals of the WKB coefficients along the Pochhammer contour are calculated. We also compute the integrals of motion on a cylinder in two-dimensional conformal field theory with W-symmetry associated with $E_6^{(1)}$. Their eigenvalues on the highest-weight state are shown to agree with the period integrals up to the sixth order. |
| title | Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.07829 |