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

Abstract

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.''

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
Physics Division
OSTI Identifier:
934677
Report Number(s):
LBNL-401E
TRN: US0803825
DOE Contract Number:
DE-AC02-05CH11231
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of High Energy Physics; Journal Volume: 2007; Journal Issue: 06; Related Information: Journal Publication Date: 06/11/2007
Country of Publication:
United States
Language:
English
Subject:
72; DIMENSIONS; FERMI GAS; FERMIONS; GROUND STATES; SPACE-TIME; SYMMETRY GROUPS; Bosonic Strings; M-Theory; Gauge-gravity correspondence

Citation Formats

Horava, Petr, Horava, Petr, and Keeler, Cynthia A. Strings on AdS2 and the high-energy limit of noncritical M-theory. United States: N. p., 2007. Web. doi:10.1088/1126-6708/2007/06/031.
Horava, Petr, Horava, Petr, & Keeler, Cynthia A. Strings on AdS2 and the high-energy limit of noncritical M-theory. United States. doi:10.1088/1126-6708/2007/06/031.
Horava, Petr, Horava, Petr, and Keeler, Cynthia A. Mon . "Strings on AdS2 and the high-energy limit of noncritical M-theory". United States. doi:10.1088/1126-6708/2007/06/031. https://www.osti.gov/servlets/purl/934677.
@article{osti_934677,
title = {Strings on AdS2 and the high-energy limit of noncritical M-theory},
author = {Horava, Petr and Horava, Petr and Keeler, Cynthia A.},
abstractNote = {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.''},
doi = {10.1088/1126-6708/2007/06/031},
journal = {Journal of High Energy Physics},
number = 06,
volume = 2007,
place = {United States},
year = {Mon Apr 16 00:00:00 EDT 2007},
month = {Mon Apr 16 00:00:00 EDT 2007}
}
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