# 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}

}