Two-Dimensional Unoriented Strings And Matrix Models

We introduce a transverse field Ising model with order N 2 spins interacting via a nonlocal quartic interaction. The model has an O(N, Z), hyperoctahedral, symmetry. We show that the large N partition function admits a saddle point in which the symmetry is enhanced to O(N ). We further demonstrate that this 'matrix saddle' correctly computes large N observables at weak and strong coupling. The matrix saddle undergoes a continuous quantum phase transition at intermediate couplings. At the transition the matrix eigenvalue distribution becomes disconnected. The critical excitations are described by large N matrix quantum mechanics. At the critical point, the low energy excitations are waves propagating in an emergent 1 + 1 dimensional spacetime.

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“…This spacetime is closely related to that of the target space dynamics of the 'tachyon' field in two dimensional string theory [24,25,26,20].…”

Section: Ising Spinsmentioning

confidence: 99%

Matrix quantum mechanics from qubits

Hartnoll

Huijse

Mazenc

2017

J. High Energ. Phys.

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“…For all other parities, there is a tachyon tadpole. 3 Interestingly enough, it was pointed out in [33] that the dual matrix model appears to describe string propagation in a shifted background, where the string divergences have been cancelled via the Fischler-Susskind mechanism. From the worldsheet point of view one could attempt to cancel the tachyon tadpoles explicitly with the addition of the appropriate number of D1-branes [34].…”

Section: Non-critical Type 0 ′ B Stringsmentioning

confidence: 99%

Tree-level stability without spacetime fermions: novel examples in string theory

Israël¹,

Niarchos²

2007

J. High Energy Phys.

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Is perturbative stability intimately tied with the existence of spacetime fermions in string theory in more than two dimensions? Type 0 ′ B string theory in tendimensional flat space is a rare example of a non-tachyonic, non-supersymmetric string theory with a purely bosonic closed string spectrum. However, all known type 0 ′ constructions exhibit massless NSNS tadpoles signaling the fact that we are not expanding around a true vacuum of the theory. In this note, we are searching for perturbatively stable examples of type 0 ′ string theory without massless tadpoles in backgrounds with a spatially varying dilaton. We present two examples with this property in non-critical string theories that exhibit four-and six-dimensional Poincaré invariance. We discuss the D-branes that can be embedded in this context and the type of gauge theories that can be constructed in this manner. We also comment on the embedding of these non-critical models in critical string theories and their holographic (Little String Theory) interpretation and propose a general conjecture for the role of asymptotic supersymmetry in perturbative string theory.

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“…As noted in ref. [11], the O(N ) and Sp(N ) gauge-invariant matrix models have their own string interpretation as unoriented (super)strings in two dimensions. On a singlet subspace the free matrix model (1.1) reduces to the quantum mechanics of the N eigenvalues x i of the matrix M .…”

Section: Jhep12(2006)006mentioning

confidence: 99%

Solitons and giants in matrix models

Andrić¹,

Jonke²,

Jurman³

2006

J. High Energy Phys.

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We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for the Calogero model. These semiclassical solutions correspond to giant gravitons described by matrix models obtained in the framework of AdS/CFT correspondence. The two-field model, associated with two types of giant gravitons, is investigated. In this duality-based matrix model we find the finite form of the n-soliton solution. The singular limit of this solution is examined and a realization of open-closed string duality is proposed.

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Two-Dimensional Unoriented Strings And Matrix Models

Cited by 31 publications

References 58 publications

Matrix quantum mechanics from qubits

Matrix quantum mechanics from qubits

Tree-level stability without spacetime fermions: novel examples in string theory

Solitons and giants in matrix models

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