Non-Standard KP Evolution and Quantum $τ$-function

Details Non-Standard KP Evolution and Quantum $τ$-function Non-Standard KP Evolution and Quantum $τ$-function

1995-01-13

arxiv.org/abs/q-alg/9501013v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX. Proceedings of the Vth International Conference on Mathematical Physics, Strings and Quantum Gravity, Alushta

Scientific paper

10.1007/BF02066659

One possible way to fix partly a ``canonical definition'' of $\tau$-functions beyond the conventional KP/Toda framework could be to postulate that evolution operators are {\it always} group elements. We discuss implications of this postulate for the first non-trivial case: fundamental representations of quantum groups $SL_q(N)$. It appears that the most suited (simple) for quantum deformation framework is some non-standard formulation of KP/Toda systems. It turns out that the postulate needs to be slightly modified to take into account that no ``nilpotent subgroups'' exist in $SL_q(N)$ for $q\neq 1$. This has some definite and simple implications for $q$-determinant-like representations of quantum $\tau$-functions.

Affiliated with

Also associated with

No associations

Rating

Non-Standard KP Evolution and Quantum $τ$-function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-Standard KP Evolution and Quantum $τ$-function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Standard KP Evolution and Quantum $τ$-function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47001