Seminari del Dipartimento di Matematica

Seminario del 2025

Galilean symmetry of the KdV hierarchy

fisica matematica

By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy [1]. As an application, we establish an explicit relationship between the non-abelian Born–Infeld partition function and the generalized Brézin–Gross–Witten partition function. References: [1] Xu, J., Yang, D.: Galilean symmetry of the KdV hierarchy. J. Lond. Math. Soc.(2) 111 (2025), no. 2, Paper No. e70075.