A string field theoretical description of (p,q) minimal superstrings

Abstract

A string field theory of (p,q) minimal superstrings is constructed with the free-fermion realization of 2-component KP (2cKP) hierarchy, starting from 2-cut ansatz of two-matrix models. Differential operators of 2cKP hierarchy are identified with operators in super Liouville theory, and we obtain algebraic curves for the disk amplitudes of η=-1 FZZT-branes and the partition functions of neutral/charged η=-1 ZZ branes, which correctly reproduce those of type 0B (p,q) minimal superstrings in conformal backgrounds. In the course of study, some subtle points are clarified, including a difference of (p,q) even/odd models and quantization of flux, and we show that the Virasoro constraints naturally incorporate quantized fluxes without ambiguity. We also argue within this string field framework that type 0A minimal superstrings can be obtained by orbifolding the type 0B strings with a Z_2 symmetry existing when special backgrounds are taken.

54 pages, 3 figures, references added

References in corpus (2)

• The Annular Report on Non-Critical String Theory
• Notes on the algebraic curves in (p,q) minimal string theory

Cited by in corpus (14)

• Minimal Open Strings
• Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
• Stokes Phenomena and Quantum Integrability in Non-critical String/M Theory
• T-duality of ZZ-brane
• Fractional supersymmetric Liouville theory and the multi-cut matrix models
• Macroscopic loop amplitudes in the multi-cut two-matrix models
• Notes on D-branes and dualities in (p,q) minimal superstring theory
• Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• Fractional-Superstring Amplitudes, Multi-Cut Matrix Models and Non-Critical M Theory
• Duality Constraints on String Theory: Instantons and spectral networks
• Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions
• Wronskians, dualities and FZZT-Cardy branes
• Emergent quantum geometry from stochastic random matrices