Fractional supersymmetric Liouville theory and the multi-cut matrix models

Abstract

We point out that the non-critical version of the k-fractional superstring theory can be described by k-cut critical points of the matrix models. In particular, in comparison with the spectrum structure of fractional super-Liouville theory, we show that (p,q) minimal fractional superstring theories appear in the Z_k-symmetry breaking critical points of the k-cut two-matrix models and the operator contents and string susceptibility coincide on both sides. By using this correspondence, we also propose a set of primary operators of the fractional superconformal ghost system which consistently produces the correct gravitational scaling critical exponents of the on-shell vertex operators.

arXiv comment33 pages, 1 figure, young.sty included; English corrected, final version to appear in Nucl.Phys.B

References in corpus (38)

• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• Two and three-point functions in Liouville theory
• Liouville field theory on a pseudosphere
• Branes, Rings and Matrix Models in Minimal (Super)string Theory
• The $n$-component KP hierarchy and representation theory
• A Matrix Model Dual of Type 0B String Theory in Two Dimensions
• World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
• Rational Theories of 2D Gravity from the Two-Matrix Model
• Remarks on Liouville theory with boundary
• Exact vs. Semiclassical Target Space of the Minimal String
• Super Liouville Theory with Boundary
• Structure Constants in the $N=1$ Super-Liouville Field Theory
• Three-point correlation functions in N=1 Super Lioville Theory
• Exact One-Point Function of N=1 super-Liouville Theory with Boundary
• Unitary and Complex Matrix Models as 1-d Type 0 Strings
• Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies
• Loop Equations and the Topological Phase of Multi-Cut Matrix Models
• Nonperturbative Effects in Noncritical Strings with Soliton Backgrounds
• Combinatorics of Solitons in Noncritical String Theory
• Comments on D-Instantons in c<1 Strings
• Flux Vacua and Branes of the Minimal Superstring
• Fractional Superstrings with Space-Time Critical Dimensions Four and Six
• Model-Building for Fractional Superstrings
• Comments on the D-instanton calculus in (p,p+1) minimal string theory
• New Jacobi-Like Identities for Z_k Parafermion Characters
• Notes on the algebraic curves in (p,q) minimal string theory
• A string field theoretical description of (p,q) minimal superstrings
• Structure Constants of the Fractional Supersymmetry Chiral Algebras
• Annulus Amplitudes in the Minimal Superstring
• Central Charge Reduction and Spacetime Statistics in the Fractional Superstring
• Low-Lying States of the Six-Dimensional Fractional Superstring
• Aspects of Fractional Superstrings
• The Worldsheet Conformal Field Theory of the Fractional Superstring
• Kac and New Determinants for Fractional Superconformal Algebras
• Notes on D-branes and dualities in (p,q) minimal superstring theory
• Tree scattering amplitudes of the spin-4/3 fractional superstring II: the twisted sectors
• Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories
• Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors

Cited by in corpus (9)

• Para-Liouville/Toda central charges from M5-branes
• Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
• Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
• Stokes Phenomena and Quantum Integrability in Non-critical String/M Theory
• Macroscopic loop amplitudes in the multi-cut two-matrix models
• Fractional-Superstring Amplitudes, Multi-Cut Matrix Models and Non-Critical M Theory
• Analytic Study for the String Theory Landscapes via Matrix Models
• Duality Constraints on String Theory: Instantons and spectral networks
• Wronskians, dualities and FZZT-Cardy branes