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

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

2006-11-06

arxiv.org/abs/hep-th/0611045v4

JHEP 0701:037,2007

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 3 figures, references added

Scientific paper

10.1088/1126-6708/2007/01/037

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 \eta=-1 FZZT-branes and the partition functions of neutral/charged \eta=-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.

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