Notes on the algebraic curves in (p,q) minimal string theory

Details Notes on the algebraic curves in (p,q) minimal string theory Notes on the algebraic curves in (p,q) minimal string theory

2006-02-27

arxiv.org/abs/hep-th/0602274v4

JHEP0609:075,2006

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, 1 figure, section 2.5 and Appendix B added, references added, final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/09/075

Loop amplitudes in (p,q) minimal string theory are studied in terms of the continuum string field theory based on the free fermion realization of the KP hierarchy. We derive the Schwinger-Dyson equations for FZZT disk amplitudes directly from the W_{1+\infty} constraints in the string field formulation and give explicitly the algebraic curves of disk amplitudes for general backgrounds. We further give annulus amplitudes of FZZT-FZZT, FZZT-ZZ and ZZ-ZZ branes, generalizing our previous D-instanton calculus from the minimal unitary series (p,p+1) to general (p,q) series. We also give a detailed explanation on the equivalence between the Douglas equation and the string field theory based on the KP hierarchy under the W_{1+\infty} constraints.

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