5 problems

Recursive formula conjecture. The coefficients satisfy

Let ${\cal G}_n(s)$ be the nonlocal integrals of motion for the deformed Virasoro algebra at parameter $s$, and let ${\cal G}_n^{DV}$ be the specialized nonlocal integrals defined…

At $s=2$, let ${\cal I}_n^{DV}$ and ${\cal G}_m^{DV}$ be respectively the specialized local and nonlocal integrals of motion for the deformed Virasoro algebra. Mixed specialized co…

At the specialization $s=2$, let ${\cal G}_n^{DV}$ denote the nonlocal integrals of motion for the deformed Virasoro algebra, defined by the multiple contour integrals in the sourc…

Let ${\cal I}_n$ and ${\されcal I}_n^*$ be the local integrals of motion for the deformed Virasoro algebra, defined by contour integrals for generic ${\rm Re}(s)>0$ and…