Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid

Details Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid

2005-08-03

arxiv.org/abs/hep-th/0508024v2

JHEP 0707:059,2007

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 1 figure; v2: typos corrected, references added

Scientific paper

10.1088/1126-6708/2007/07/059

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.

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