Interacting Theory of Collective and Topological Fields in 2 Dimensions

Details Interacting Theory of Collective and Topological Fields in 2 Dimensions Interacting Theory of Collective and Topological Fields in 2 Dimensions

1992-09-11

arxiv.org/abs/hep-th/9209036v2

Nucl.Phys. B397 (1993) 672-704

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(93)90190-Z

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.

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