### Abstract

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.

Original language | English (US) |
---|---|

Article number | 059 |

Journal | Journal of High Energy Physics |

Volume | 2007 |

Issue number | 7 |

DOIs | |

State | Published - Jul 1 2007 |

Externally published | Yes |

### Fingerprint

### Keywords

- M(atrix) theories
- M-theory
- Matrix models
- Superstrings and heterotic strings

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Noncritical M-theory in 2+1 dimensions as a nonrelativistic Fermi liquid.** / Horava, Petr; Keeler, Cynthia.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2007, no. 7, 059. https://doi.org/10.1088/1126-6708/2007/07/059

}

TY - JOUR

T1 - Noncritical M-theory in 2+1 dimensions as a nonrelativistic Fermi liquid

AU - Horava, Petr

AU - Keeler, Cynthia

PY - 2007/7/1

Y1 - 2007/7/1

N2 - 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.

AB - 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.

KW - M(atrix) theories

KW - M-theory

KW - Matrix models

KW - Superstrings and heterotic strings

UR - http://www.scopus.com/inward/record.url?scp=34547691075&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547691075&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2007/07/059

DO - 10.1088/1126-6708/2007/07/059

M3 - Article

AN - SCOPUS:34547691075

VL - 2007

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

IS - 7

M1 - 059

ER -