Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-07-16
Phys.Lett. B296 (1992) 23-27
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, Plain Tex
Scientific paper
10.1016/0370-2693(92)90798-9
Additional symmetries of the $p$-reduced KP hierarchy are generated by the Lax operator $L$ and another operator $M$, satisfying $res (M^n L^{m+n/p})$ = 0 for $1 \leq n \leq p-1$ and $m \geq -1$ with the condition that ${\partial L \over {\partial t_{kp}}}$ = 0, $k$ = 1, 2,..... We show explicitly that the generators of these additional symmetries satisfy a closed and consistent W-algebra only when we impose the extra condition that ${\partial M \over {\partial t_{kp}}} = 0$.
Panda Sudhakar
Roy Shibaji
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