Interacting Theory of Collective and Topological Fields in 2 Dimensions

Abstract

We propose a generalization of the collective field theory hamiltonian, including interactions between the original bosonic collective field $w_0(z)$ and supplementary fields ${\bar{w}}_j(z)$ realizing classically a $w_{\infty }$ algebra. The latter are then shown to represent a 3--dimensional topological field theory. This generalization follows from a conjectured representation of the $W_{1+\infty }$ algebra of bilinear fermion operators underlying the original matrix model. It provides an improved bosonization scheme for $1+1$ dimensional fermion theories.

41 pages, (Phyzzx), BROWN-HET-869 (Tex Errors)

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Cited by in corpus (9)

• Tachyon Dynamics in Open String Theory
• Quasi-classical limit of Toda hierarchy and W-infinity symmetries
• Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory
• Folds, Bosonization and non-triviality of the classical limit of 2D string theory
• Notes on Collective Field Theory of Matrix and Spin Calogero Models
• Degrees of freedom in two dimensional string theory
• Symmetries, Conserved Charges and (Black) Holes in Two Dimensional String Theory
• Higher algebras and mesonic spectrum in two-dimensional QCD
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface