Non-critical string, Liouville theory and geometric bootstrap hypothesis

Details Non-critical string, Liouville theory and geometric bootstrap hypothesis Non-critical string, Liouville theory and geometric bootstrap hypothesis

2003-02-26

arxiv.org/abs/hep-th/0302211v3

Int.J.Mod.Phys. A19 (2004) 2079-2094

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; revised version

Scientific paper

10.1142/S0217751X04018427

The applications of the existing Liouville theories for the description of the longitudinal dynamics of non-critical Nambu-Goto string are analyzed. We show that the recently developed DOZZ solution to the Liouville theory leads to the cut singularities in tree string amplitudes. We propose a new version of the Polyakov geometric approach to Liouville theory and formulate its basic consistency condition - the geometric bootstrap equation. Also in this approach the tree amplitudes develop cut singularieties.

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