Communications in Mathematical Physics

, Volume 252, Issue 1–3, pp 275–323 | Cite as

Unitary and Complex Matrix Models as 1-d Type 0 Strings

  • I.R. Klebanov
  • J. Maldacena
  • N. Seiberg


We propose that the double scaling behavior of the unitary matrix models, and that of the complex matrix models, is related to type 0B and 0A fermionic string theories. The particular backgrounds involved correspond to ĉ < 1 matter coupled to super-Liouville theory. We examine in detail the ĉ = 0 or pure supergravity case, which is related to the double scaling limit around the Gross-Witten transition, and find that reversing the sign of the Liouville superpotential interchanges the 0A and 0B theories. We also find smooth transitions between weakly coupled string backgrounds with D-branes, and backgrounds with Ramond-Ramond fluxes only. Finally, we discuss matrix models with multicritical potentials that are conjectured to correspond to 0A/0B string theories based on (2,4k) super-minimal models.


Neural Network Statistical Physic Complex System String Theory Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • I.R. Klebanov
    • 1
  • J. Maldacena
    • 2
  • N. Seiberg
    • 2
  1. 1.Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA
  2. 2.Institute for Advanced StudyPrincetonUSA

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