Fractional supersymmetric Liouville theory and the multi-cut matrix models

Details Fractional supersymmetric Liouville theory and the multi-cut matrix models Fractional supersymmetric Liouville theory and the multi-cut matrix models

2009-02-10

arxiv.org/abs/0902.1676v4

Nucl.Phys.B819:351-374,2009

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 1 figure, young.sty included; English corrected, final version to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2009.03.021

We point out that the non-critical version of the k-fractional superstring theory can be described by k-cut critical points of the matrix models. In particular, in comparison with the spectrum structure of fractional super-Liouville theory, we show that (p,q) minimal fractional superstring theories appear in the Z_k-symmetry breaking critical points of the k-cut two-matrix models and the operator contents and string susceptibility coincide on both sides. By using this correspondence, we also propose a set of primary operators of the fractional superconformal ghost system which consistently produces the correct gravitational scaling critical exponents of the on-shell vertex operators.

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