$w_{\infty}$-Currents in 3-Dimensional Toda Theory

Details $w_{\infty}$-Currents in 3-Dimensional Toda Theory $w_{\infty}$-Currents in 3-Dimensional Toda Theory

1992-07-30

arxiv.org/abs/hep-th/9207107v1

Phys.Lett. A168 (1992) 363-369

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0375-9601(92)90519-R

Chiral densities obeying a $w_{\infty}$ Poisson--bracket algebra are
constructed for the $2+1\,\, A_{\infty}$ -- Toda field theory, using its
alternative $w_{\infty}$ -- Toda representation. They are obtained from formal
traces of powers of the Lax operator. The spin 2 and 3 currents are explicitely
derived, and the consistency of their Poisson algebra is checked.

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