73 research outputs found
Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid
We claim that the dynamics of noncritical string theories in two dimensions
is related to an underlying noncritical version of M-theory, which we define in
terms of a double-scaled nonrelativistic Fermi liquid in 2+1 dimensions. After
reproducing Type 0A and 0B string theories as solutions, we study the natural
M-theory vacuum. The vacuum energy of this solution can be evaluated exactly,
its form suggesting a duality to the Debye model of phonons in a melting solid,
and a possible topological nature of the theory. The physical spacetime is
emergent in this theory, only for states that admit a hydrodynamic description.
Among the solutions of the hydrodynamic equations of motion for the Fermi
surface, we find families describing the decay of one two-dimensional string
theory into another via an intermediate M-theory phase.Comment: 47 pages, 1 figure; v2: typos corrected, references adde
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