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math-ph2025
Quantum KdV hierarchy and shifted symmetric functions
Jan-Willem van Ittersum, Giulio Ruzza
We study spectral properties of the quantum Korteweg-de Vries hierarchy defined by Buryak and Rossi. We prove that eigenvalues to first order in the dispersion parameter are given…
math-ph2024
Quantum KdV hierarchy and quasimodular forms
Jan-Willem M. van Ittersum, Giulio Ruzza
Dubrovin has shown that the spectrum of the quantization (with respect to the first Poisson structure) of the dispersionless Korteweg-de Vries (KdV) hierarchy is given by shifted s…