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

2003/09/30 by I. R. Klebanov, I.R. Klebanov, J. Maldacena +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1007/s00220-004-1183-7

published as Commun.Math.Phys.252:275-323,2004 · 63 pages

arxiv created 2003/11/10 · openalex publication_date 2004/09/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 c<1 matter coupled to super-Liouville theory. We examine in detail the c=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.

Citations

• Recent progress in the theory of noncritical strings
• Towards the LargeNLimit of PureN<mml:mspace/>=<mml:mspace/>1Super Yang-Mills Theory
• Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)

Cited by

• Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories
• Flux-vacua in two dimensional string theory
• Semi-classical mechanics in phase space: the quantum target of minimal strings
• Instantons and extreme value statistics of random matrices
• Minimal superstrings and loop gas models