$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents

Sasanka Ghosh, Samir K. Paul

It is shown that $SL(n,R)$ KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of $SL(n,R)$ on the…