Nambu-Goto string with the Gauss-Bonnet term and point-like masses at the ends

In the present paper we investigate classical dynamics of the Nambu-Goto string with the Gauss-Bonnet term in the action and point-like masses at the ends in the context of effective QCD string. The configurations of rigidly rotating string is studied and its application to phenomenological description of meson is discussed.Comment: 6 pages, plain LaTeX, To be published in Phys.Rev.Let

Non-critical string, Liouville theory and geometric bootstrap hypothesis

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.Comment: 16 pages; revised versio

Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks

We construct, generalizing appropriately the method applied by J. Teschner in the case of the Virasoro conformal blocks, the braiding and fusion matrices of the Neveu-Schwarz super-conformal blocks. Their properties allow for an explicit verification of the bootstrap equation in the NS sector of the N=1 supersymmetric Liouville field theory.Comment: 41 pages, 3 eps figure

Super-Liouville - Double Liouville correspondence

The AGT motivated relation between the tensor product of the N = 1 super-Liouville field theory with the imaginary free fermion (SL) and a certain projected tensor product of the real and the imaginary Liouville field theories (LL) is analyzed. Using conformal field theory techniques we give a complete proof of the equivalence in the NS sector. It is shown that the SL-LL correspondence is based on the equivalence of chiral objects including suitably chosen chiral structure constants of all the three Liouville theories involved.Comment: The Introduction expanded, main points of the paper clarified. Misprints corrected and references added. Published in JHE

Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks

We apply a suitably generalized method of Al. Zamolodchikov to derive an elliptic recurrence representation of the Neveu-Schwarz superconformal blocksComment: 17 pages, no figure