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

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.

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

References in corpus (14)

• Stability of Fermi Surfaces and K-Theory
• The Annular Report on Non-Critical String Theory
• Quantum Gravity in 2+1 Dimensions
• Origin of charge density wave formation in insulators from a high resolution photoemission study of BaIrO3
• Matrix Quantum Mechanics and Two-dimensional String Theory in Non-trivial Backgrounds
• Flux-vacua in Two Dimensional String Theory
• The Large N Harmonic Oscillator as a String Theory
• Observations On The Moduli Space Of Two Dimensional String Theory
• Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics
• Spacelike boundaries from the c=1 Matrix Model
• Comments on 2D Type IIA String and Matrix Model
• Are the low-momentum gluon correlations semiclassically determined?
• 4D black holes and holomorphic factorization of the 0A matrix model
• Fermions in the harmonic potential and string theory

Cited by in corpus (22)

• Membranes at Quantum Criticality
• ABJM theory as a Fermi gas
• Horava-Lifshitz f(R) Gravity
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Non-Relativistic Superstring Theories
• Quantum gravity as a Fermi liquid
• Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
• Stokes Phenomena and Quantum Integrability in Non-critical String/M Theory
• M-Theory Through the Looking Glass: Tachyon Condensation in the E_8 Heterotic String
• World Sheet Commuting βγCFT and Non-Relativistic String Theories
• Thermodynamics of Noncritical M-Theory and the Topological A-Model
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory
• Swampland Conjectures for an Almost Topological Gravity Theory
• Cosmological Constant Seesaw in Quantum Cosmology
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• Fractional-Superstring Amplitudes, Multi-Cut Matrix Models and Non-Critical M Theory
• Quantum quench, large N, and symmetry restoration
• Cosmological Constant Seesaw in String/M-Theory
• Noncritical M-theory and the Gross-Neveu model in 2+1 dimensions
• Universe Decay, Inflation and the Large Eigenvalue of the Cosmological Constant Seesaw
• Renormalization Group Flow for Noncommutative Fermi Liquids