The WZNW model as an integrable perturbation of the Witten conformal point

Details The WZNW model as an integrable perturbation of the Witten conformal point The WZNW model as an integrable perturbation of the Witten conformal point

1993-10-31

arxiv.org/abs/hep-th/9310197v1

Phys.Lett.B321:365-367,1994

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex file, QMW-93-28

Scientific paper

10.1016/0370-2693(94)90258-5

We show that the WZNW model with arbitrary $\sigma$-model coupling constant may be viewed as a $\sigma$-model perturbation of the WZNW theory around the Witten conformal point. In order for the $\sigma$-model perturbation to be relevant, the level $k$ of the underlying affine algebra has to be negative. We prove that in the large $|k|$ limit the perturbed WZNW system with negative $k$ flows to the conformal WZNW model with positive level. The flow appears to be integrable due to the existence of conserved currents satisfying the Lax equation. This fact is in a favorable agreement with the integrability of the WZNW model discovered by Polyakov and Wiegmann within the Bethe ansatz technique.

Affiliated with

Also associated with

No associations

Rating

The WZNW model as an integrable perturbation of the Witten conformal point 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 The WZNW model as an integrable perturbation of the Witten conformal point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The WZNW model as an integrable perturbation of the Witten conformal point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444730