Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$

Details Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$ Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$

2007-08-28

arxiv.org/abs/0708.3792v1

Int.J.Mod.Phys.A23:5059-5080,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1142/S0217751X08041505

We focus in this work to renew the interest in higher conformal spins symmetries and their relations to quantum field theories and integrable models. We consider the extension of the conformal Frappat et al. symmetries containing the Virasoro and the Antoniadis et al. algebras as particular cases describing geometrically special diffeomorphisms of the two dimensional torus $T^2$. We show in a consistent way, and explicitly, how one can extract these generalized symmetries from the Gelfand-Dickey algebra. The link with Liouville and Toda conformal field theories is established and various important properties are discussed.

Affiliated with

Also associated with

No associations

Rating

Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$ 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 Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363197