The conformal limit of the 0A matrix model and string theory on AdS<sub>2</sub>

Aharony, Ofer; Patir, Assaf

doi:10.1088/1126-6708/2005/11/052

Cited by 6 publications

(17 citation statements)

References 20 publications

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“…This limit can also be viewed as a near-horizon limit of an extremally charged two-dimensional black hole [28][29][30]. In [14], Aharony and Patir provide further evidence for this behavior, by analyzing the spectrum of the model in this limit. By examining the potential in (2.5), we see that the limit of ω 0 → 0 allows us to ignore the λ 2 term.…”

Section: Review Of the Conformal Limit Of The 0a Matrix Modelmentioning

confidence: 85%

“…H represents the time evolution with respect to the global time on AdS 2 [12][13][14]. H has a discrete spectrum, with the n-th level eigenvalue given by…”

Section: Review Of the Conformal Limit Of The 0a Matrix Modelmentioning

confidence: 99%

“…In string theory, the conformal limit [12][13][14] corresponds to sending α ′ → ∞, which can also be interpreted as a high-energy limit [15][16][17] (see also [18][19][20]). This fact provides another motivation for this paper: taking the high-energy limit of a mysterious theory in order to learn more about its underlying degrees of freedom is a classic strategy, pursued in string theory since its early days.…”

Section: Introductionmentioning

confidence: 99%

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Strings onAdS₂and the high-energy limit of noncritical M-theory

Hořava

Keeler

2007

J. High Energy Phys.

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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 ′ → ∞ limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal α ′ → ∞ 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 × 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 × 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."

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Section: Review Of the Conformal Limit Of The 0a Matrix Modelmentioning

confidence: 85%

“…H represents the time evolution with respect to the global time on AdS 2 [12][13][14]. H has a discrete spectrum, with the n-th level eigenvalue given by…”

Section: Review Of the Conformal Limit Of The 0a Matrix Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strings onAdS₂and the high-energy limit of noncritical M-theory

Hořava

Keeler

2007

J. High Energy Phys.

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“…Equations (26) and (25) imply (24) for functions φ(x) which decay sufficiently fast at ±∞. For the function…”

Section: Quantum Spectrummentioning

confidence: 99%

“…The dAFF model has been recently discussed in the framework of the AdS 2 /CFT 1 correspondence [17,18,16] and can be considered as the conformal limit of the matrix model describing flux backgrounds of 2D type 0A string theory [24]. It also has been shown that the spectrum of this limit is similar to that of a free fermion on AdS 2 [25].…”

Section: The Xp-ads 2 Model and Conformal Quantum Mechanicsmentioning

confidence: 99%

An xp model on AdS2 spacetime

Molina-Vilaplana

Sierra

2013

Nuclear Physics B

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In this paper we formulate the xp model on the AdS 2 spacetime. We find that the spectrum of the Hamiltonian has positive and negative eigenvalues, whose absolute values are given by a harmonic oscillator spectrum, which in turn coincides with that of a massive Dirac fermion in AdS 2 . We extend this result to generic xp models which are shown to be equivalent to a massive Dirac fermion on spacetimes whose metric depend of the xp Hamiltonian. Finally, we construct the generators of the isometry group SO(2, 1) of the AdS 2 spacetime, and discuss the relation with conformal quantum mechanics.

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Noncritical osp(1|2,R)M-theory matrix model with an arbitrary time-dependent cosmological constant

Park

2006

Nuclear Physics B

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Dimensional reduction of the D = 2 minimal super Yang-Mills to the D = 1 matrix quantum mechanics is shown to double the number of dynamical supersymmetries, from N = 1 to N = 2. We analyze the most general supersymmetric deformations of the latter, in order to construct the noncritical 3D M-theory matrix model on generic supersymmetric backgrounds. It amounts to adding quadratic and linear potentials with arbitrary time dependent coefficients, namely, a cosmological 'constant,' Λ(t), and an electric flux background, ρ(t), respectively. The resulting matrix model enjoys, irrespective of Λ(t) and ρ(t), two dynamical supersymmetries which further reveal three hidden so(1, 2) symmetries. All together they form the supersymmetry algebra, osp(1|2, R). Each so(1, 2) multiplet in the Hilbert space visualizes a dynamics constrained on either Euclidean or Minkowskian dS 2 /AdS 2 space, depending on its Casimir. In particular, all the unitary multiplets have the Euclidean dS 2 /AdS 2 geometry. We conjecture that the matrix model provides holographic duals to the 2D superstring theories on various backgrounds having the spacetime signature Minkowskian if Λ(t) > 0, or Euclidean if Λ(t) < 0.

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The conformal limit of the 0A matrix model and string theory on AdS₂

Cited by 6 publications

References 20 publications

Strings onAdS₂and the high-energy limit of noncritical M-theory

Strings onAdS₂and the high-energy limit of noncritical M-theory

An xp model on AdS2 spacetime

Noncritical osp(1|2,R)M-theory matrix model with an arbitrary time-dependent cosmological constant

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The conformal limit of the 0A matrix model and string theory on AdS2

Cited by 6 publications

References 20 publications

Strings onAdS2and the high-energy limit of noncritical M-theory

Strings onAdS2and the high-energy limit of noncritical M-theory

An xp model on AdS2 spacetime

Noncritical osp(1|2,R)M-theory matrix model with an arbitrary time-dependent cosmological constant

Contact Info

Product

Resources

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The conformal limit of the 0A matrix model and string theory on AdS₂

Strings onAdS₂and the high-energy limit of noncritical M-theory

Strings onAdS₂and the high-energy limit of noncritical M-theory