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Interacting Theory of Collective and Topological Fields in 2 Dimensions

J. Avan·A. Jevicki
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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.

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J. Avan, A. Jevicki. 1992-09-14. Interacting Theory of Collective and Topological Fields in 2 Dimensions. https://doi.org/10.1016/0550-3213(93)90190-z

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