Integrals of motion in W E6 CFT and the ODE/IM correspondence
Abstract
A bstract We study the ODE/IM correspondence for the ordinary differential equation associated with the affine Lie algebra $$ {E}_6^{(1)} $$ 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 $$ {E}_6^{(1)} $$ E 6 1 . Their eigenvalues on the highest-weight state are shown to agree with the period integrals up to the sixth order.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Black Holes and Theoretical Physics
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 7
- Publication date
- 17 July 2026
- Language
- EN