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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.
Forward citations
Cited by 2 Pith papers
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Fate of "Space-like singularities" in $c=1$ Matrix Model
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 ...
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Bosonization, BTZ Black Hole Microstates, and Logarithmic Correction to Entropy
BTZ black hole microstates under collective-field boundary conditions are labeled by Young diagrams, and the logarithmic correction to their entropy is -1/2, one-loop exact and identical for two boundary Hamiltonians.
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