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Exact operator bosonization of finite number of fermions in one space dimension

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abstract

We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the Hilbert space. In the bosonized theory the finiteness of the number of fermions appears as an ultraviolet cut-off. We discuss implications of this for the bosonized theory. We also discuss applications of our bosonization to one-dimensional fermion systems dual to (sectors of) string theory such as LLM geometries and c=1 matrix model.

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hep-th 1

years

2026 1

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UNVERDICTED 1

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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 28 · 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.