T-Duality Transformation and Universal Structure of Non-Critical String Field Theory

Abstract

We discuss a T-duality transformation for the c=1/2 matrix model for the purpose of studying duality transformations in a possible toy example of nonperturbative frameworks of string theory. Our approach is to first investigate the scaling limit of the Schwinger-Dyson equations and the stochastic Hamiltonian in terms of the dual variables and then compare the results with those using the original spin variables. It is shown that the c=1/2 model in the scaling limit is T-duality symmetric in the sphere approximation. The duality symmetry is however violated when the higher-genus effects are taken into account, owing to the existence of global Z_2 vector fields corresponding to nontrivial homology cycles. Some universal properties of the stochastic Hamiltonians which play an important role in discussing the scaling limit and have been discussed in a previous work by the last two authors are refined in both the original and dual formulations. We also report a number of new explicit results for various amplitudes containing macroscopic loop operators.

RevTex, 46 pages, 5 eps figures

References in corpus (5)

• Character Expansion Methods for Matrix Models of Dually Weighted Graphs
• String Field Theory of Noncritical Strings
• Loop Space Hamiltonians And Field Theory Of Non-Critical Strings
• Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
• Spin/disorder correlations and duality in the c=1/2 string

Cited by in corpus (7)

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• The classifying algebra for defects
• T-duality of ZZ-brane
• Boundary fields and renormalization group flow in the two-matrix model
• Notes on D-branes and dualities in (p,q) minimal superstring theory
• Inflation in String Field Theory
• Duality Constraints on String Theory: Instantons and spectral networks