Minimal Superstrings and Loop Gas Models

Abstract

We reformulate the matrix models of minimal superstrings as loop gas models on random surfaces. In the continuum limit, this leads to the identification of minimal superstrings with certain bosonic string theories, to all orders in the genus expansion. RR vertex operators arise as operators in a Z_2 twisted sector of the matter CFT. We show how the loop gas model implements the sum over spin structures expected from the continuum RNS formulation. Open string boundary conditions are also more transparent in this language.

36 pages, 3 figures

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• Minimal Open Strings
• Notes on the algebraic curves in (p,q) minimal string theory
• A string field theoretical description of (p,q) minimal superstrings
• c < 1 String from Two Dimensional Black Holes
• SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
• New critical behavior in a supersymmetric double-well matrix model
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• Notes on D-branes and dualities in (p,q) minimal superstring theory
• Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories