Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra

Abstract

We use the description of the universal central extension of the DJKM algebra $\mathfrak{sl}(2,R)$ where $R=\mathbb{C}[t,t^{-1},u|u^2=t^4-2c{t}^2+1]$ given in earlier work to construct realizations of the DJKM algebra in terms of sums of partial differential operators.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1303.6973