Minimal superstrings and loop gas models

2004/10/11 by Davide Gaiotto, Leonardo Rastelli, Tadashi Takayanagi
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Loop (graph theory) #Minimal model #Minimal models #Quantum many-body systems #String (physics) #String field theory #String theory #Superstring theory #Vertex (graph theory) #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/05/029

published as JHEP0505:029,2005 · 36 pages, 3 figures

arxiv created 2004/10/11 · openalex publication_date 2005/05/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 Z₂ 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.

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