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Interacting Theory of Collective and Topological Fields in 2 Dimensions

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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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hep-th 1

years

2026 1

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UNVERDICTED 1

representative citing papers

Fate of "Space-like singularities" in $c=1$ Matrix Model

hep-th · 2026-06-30 · unverdicted · novelty 7.0

Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.

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  • Fate of "Space-like singularities" in $c=1$ Matrix Model hep-th · 2026-06-30 · unverdicted · none · ref 40 · internal anchor

    Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.