Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory

Abstract

Noncritical M-theory in 2+1 dimensions has been defined as a double-scaling limit of a nonrelativistic Fermi liquid on a flat two-dimensional plane. Here we study this noncritical M-theory in the limit of high energies, analogous to the α'\to\infty limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal α'\to\infty limit leads to AdS_2 with a propagating fermion whose mass is set by the value of the RR flux. Here we provide evidence that in the high-energy limit, the natural ground state of noncritical M-theory similarly describes the AdS_2\times S^1 spacetime, with a massless propagating fermion. We argue that the spacetime effective theory in this background is captured by a topological higher-spin extension of conformal Chern-Simons gravity in 2+1 dimensions, consistently coupled to a massless Dirac field. Intriguingly, the two-dimensional plane populated by the original nonrelativistic fermions is essentially the twistor space associated with the symmetry group of the AdS_2\times S^1 spacetime; thus, at least in the high-energy limit, noncritical M-theory can be nonperturbatively described as a "Fermi liquid on twistor space."

arXiv comment31 pages; references added

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Cited by in corpus (7)

• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Higher-spin Chern-Simons theories in odd dimensions
• Non-Relativistic Superstring Theories
• World Sheet Commuting βγCFT and Non-Relativistic String Theories
• Thermodynamics of Noncritical M-Theory and the Topological A-Model
• Two-dimensional Black Holes in a Higher Derivative Gravity and Matrix Model