NEW CRITICAL BEHAVIOR IN d = 0 LARGE-N MATRIX MODELS

Das, Sumit R.; Dhar, Avinash; Sengupta, Anirvan M.; Wadia, Spenta R.

doi:10.1142/s0217732390001165

Cited by 126 publications

(216 citation statements)

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“…This is in agreement with the analysis carried out in [17] for the one-matrix model with world-sheet curvature.…”

Section: One Of the Most Interesting Open Problems In String Theory Asupporting

confidence: 91%

“…Notice that in this construction the exponent α in (2.1) is set to zero. If we want to include the effect of local world-sheet curvature, we can follow [17] and change the kinetic term in (2.2). The two-dimensional cosmological constant is here represented by g, g = e −µ .…”

Section: Large-n Reduced Theories and Matrix Modelsmentioning

confidence: 99%

“…The new graphs look like "daisies". In the original curvature model introduced in [17] the initial partition function is…”

Section: Properties Of the Reduced String Actionmentioning

confidence: 99%

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A proposal for strings at D > 62; 1

1993

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“…This is in agreement with the analysis carried out in [17] for the one-matrix model with world-sheet curvature.…”

Section: One Of the Most Interesting Open Problems In String Theory Asupporting

confidence: 91%

Section: Large-n Reduced Theories and Matrix Modelsmentioning

confidence: 99%

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A proposal for strings at D > 62; 1

1993

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“…Using the dictionary between oriented string theory and the Hermitian matrix model, it is possible to write down a non-local worldsheet deformation [32][33] [27] responsible for connecting the vacuum with orientable strings to the vacuum with the orientifold.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Unoriented Strings And Matrix Models

Gomis

Kapustin

2004

J. High Energy Phys.

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We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP 2 worldsheet which needs to be cancelled by a renormalization of the worldsheet theory. We find evidence that the dual matrix models describe the renormalized theory. The singlet sector of the matrix models is integrable and can be formulated in terms of fermions moving in an external potential and interacting via the Calogero-Moser potential. We show that in the double-scaling limit the latter system exhibits particle-hole duality and interpret it in terms of the dual string theory. We also show that oriented string theories in two dimensions can be continuously deformed into unoriented ones by turning on non-local interactions on the worldsheet. We find two unoriented superstring models for which only oriented worldsheets contribute to the S-matrix. A simple explanation for this is found in the dual matrix model. 10/2003

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“…The authors of ref. [5] found a critical line in the (λ, g) plane where the free energy Eq. (1) becomes singular.…”

Section: Introductionmentioning

confidence: 99%

A modified c = 1 matrix model with new critical behavior

Gubser

Klebanov

1994

Physics Letters B

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By introducing a dt g (Tr Φ 2 (t)) 2 term into the action of the c = 1 matrix model of two-dimensional quantum gravity, we find a new critical behavior for random surfaces. The planar limit of the path integral generates multiple spherical "bubbles" which touch one another at single points. At a special value of g, the sum over connected surfaces behaves as ∆ 2 log ∆, where ∆ is the cosmological constant (the sum over surfaces of area A goes as A −3 ). For comparison, in the conventional c = 1 model the sum over planar surfaces behaves as ∆ 2 / log ∆.

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NEW CRITICAL BEHAVIOR IN d = 0 LARGE-N MATRIX MODELS

Cited by 126 publications

References 0 publications

A proposal for strings at D > 62; 1

A proposal for strings at D > 62; 1

Two-Dimensional Unoriented Strings And Matrix Models

A modified c = 1 matrix model with new critical behavior

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