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.
Collective Field Description of Matrix Cosmologies
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abstract
We study the Das-Jevicki collective field description of arbitrary classical solutions in the c=1 matrix model, which are believed to describe nontrivial spacetime backgrounds in 2d string theory. Our analysis naturally includes the case of a Fermi droplet cosmology: a finite size droplet of Fermi fluid, made up of a finite number of eigenvalues. We analyze properties of the coordinates in which the metric in the collective field theory is trivial, and comment on the form of the interaction terms in these coordinates.
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hep-th 1years
2026 1verdicts
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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 power-law independent of initial state details.