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arXiv · hep-th/0302211

Non-critical string, Liouville theory and geometric bootstrap hypothesis

Leszek Hadasz·Zbigniew Jaskolski
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Abstract

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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Leszek Hadasz, Zbigniew Jaskolski. 2003-07-15. Non-critical string, Liouville theory and geometric bootstrap hypothesis. https://doi.org/10.1142/s0217751x04018427

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