Strings on AdS2 and the high-energy limit of noncritical M-theory

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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 alpha' --> infinity limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal alpha' --> infinity 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 ... continued below

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Horava, Petr; Horava, Petr & Keeler, Cynthia A. April 16, 2007.

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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 alpha' --> infinity limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal alpha' --> infinity 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 x S1 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 x S1 spacetime; thus, at least in the high-energy limit, noncritical M-theory can be nonperturbatively described as a"Fermi liquid on twistor space.''

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  • Journal Name: Journal of High Energy Physics; Journal Volume: 2007; Journal Issue: 06; Related Information: Journal Publication Date: 06/11/2007

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  • Report No.: LBNL-401E
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1088/1126-6708/2007/06/031 | External Link
  • Office of Scientific & Technical Information Report Number: 934677
  • Archival Resource Key: ark:/67531/metadc897232

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  • April 16, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 3, 2016, 4:23 p.m.

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Horava, Petr; Horava, Petr & Keeler, Cynthia A. Strings on AdS2 and the high-energy limit of noncritical M-theory, article, April 16, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc897232/: accessed July 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.