Abstract

Fractal Structure in 4d Gravity -- A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction -- Kodaira-Spencer Theory of Gravity -- 3d Gravity and Gauge Theories -- On the W-Gravity Spectrum and its G-Structure -- Light-Cone Quantization of Matrix Models at c>1 -- Multicritical Points of 2-Matrix Models -- The Super Self-Dual Matreoshka -- The Phenomenology of Strings and Clusters in the 3-d Ising Model -- Conformai Field Theory Techniques in Large N Yang-Mills Theory -- to Differential W-Geometry -- Topological Strings and QCD in Two Dimensions -- Continuum QCD2 in Terms of Discrete Random Surfaces with Local Weights -- Strings and Causality -- Loop Equation and Area Law in Turbulence -- The Two-Dimensional String as a Topological Field Theory -- Linear Systems for 2d Poincare Supergravities -- Quantization of Mirror Symmetry -- Integrable Qft2 Encoded on Products of Dynkin Diagrams -- Remarks on Topological String Theories -- Hamiltonian Reduction of the BRST Complex and N=2 SUSY -- Lattice Models and N=2 Supersymmetry -- Canonical Construction of Liouville Field Operators with Arbitrary Spin -- Bethe Ansatz for the Bloch Particle in Magnetic Field.

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