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

Abstract

Chiral densities obeying a $w_{\infty }$ Poisson--bracket algebra are constructed for the $2+1A_{\infty }$ -- 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.

13 pages

References in corpus (2)

• SDiff(2) Toda equation -- hierarchy, $\tau$ function, and symmetries
• String field actions from W-infinity

Cited by in corpus (2)

• Space Time Interpretation of S-Duality and Supersymmetry Violations of T-Duality
• Interacting Theory of Collective and Topological Fields in 2 Dimensions