Strings and Symmetries: Proceedings of the Gürsey Memorial Conference I Held at Istanbul, Turkey, 6–10 June 1994

The topics in this volume constitute a fitting tribute by distinguished physicists and mathematicians. They cover strings, conformal field theories, W and Virasoro algebras, topological field theory, quantum groups, vertex and Hopf algebras, and non-commutative geometry. The relatively long contributions are pedagogical in style and address students as well as scientists. Superstrings: The view from below....Pages 1-14 Note on holomorphic anomalies in topological field theories....Pages 15-25 Folded strings....Pages 26-39 Algebro-geometric aspects of the Bethe equations....Pages 40-53 Extended superconformal symmetry, Freudenthal triple systems and gauged WZW models....Pages 54-69 A three-dimensional fractional string....Pages 70-74 Why don't we have a covariant superstring field theory?....Pages 75-80 Search for duality symmetries in p-branes....Pages 81-86 Non linear identities between unitary minimal Virasoro characters....Pages 87-92 Finite deformations of CF T and space-time geometry....Pages 93-98 Non-standard fermion propagators from conformal field theory....Pages 99-103 Manifestly space-time conformally invariant null strings....Pages 104-104 Lie algebras and exactly solvable problems in Quantum Mechanics....Pages 105-119 Geometry and arithmetic of factorized S-matrices....Pages 120-124 Duality principle and braided geometry....Pages 125-144 HyperKähler quotients and N=4 gauge theories in D=2....Pages 145-168 Four dimensional integrable theories....Pages 169-182 Regularisation, the BV method, and the antibracket cohomology....Pages 183-196 E 10 for beginners....Pages 197-210 Symmetry principles for string theory....Pages 211-215 Are on-shell 3-string amplitudes the structure constants of the fake monster Lie algebra?....Pages 216-217 Auxiliary fields for super Yang-Mills from division algebras....Pages 218-223 Automorphism groups of discrete octonions and possible applications in physics....Pages 224-227 Spatial geometry and the Wu-Yang ambiguity....Pages 228-234 The classification of third order PDE with respect to symmetry....Pages 235-237 Symmetries of large systems of differential equations....Pages 238-242 q -Deformed path integral and generalized grassmann variables....Pages 243-248 Quantum mechanical quantum group in two-dimensional gravity....Pages 249-265 Electromagnetism and gravity in noncommutative geometry....Pages 266-271 The geometry of W symmetry algebras....Pages 272-278 Quantization of a gauge theory of quadratic Lie algebras in 2d....Pages 279-282 The BV-algebra structure of W 3 cohomology....Pages 283-291 Black hole solution of topologically massive gravity....Pages 292-293 Linearized gravity in “closed” universes with continuous symmetries....Pages 294-296 Quantum fluctuations in the presence of gravitational waves....Pages 297-301 On the radiative processes near cosmic strings....Pages 302-304 Integrable models in multidimensional cosmology with multicomponent perfect fluid and Toda lattices....Pages 305-309 Effective field theory....Pages 310-325 Gürsey's chiral model and its modifications....Pages 326-331 Instability of a Nielsen-Olesen vortex embedded in the electroweak theory....Pages 332-345 Proper-time methods in the presence of non-constant background fields....Pages 346-350 On Abelian bosonization of free fermi fields in three space dimensions....Pages 351-355 Internal spin structure of the nucleon....Pages 356-359 Strings and membranes in electron theory....Pages 360-363 Quark and lepton masses and the Higgs field in fifth dimension....Pages 364-367 Regularization and quantization of higher dimensional current algebras....Pages 368-370 Fermion masses and mixing from an extra gauge symmetry....Pages 371-375 E 6 model manifestations in z and τ decays....Pages 376-380 Anomaly and exotic statistics in one dimension....Pages 381-384 Samuel MacDowell Closing Remarks Gürsey Memorial Conference I June 6–10,1994....Pages 385-386 These proceedings cover strings, conformal field theories, W and Virasoro algebras, topological field theory, quantum groups, vertex and Hopf algebras and non-commutative geometry. The contributions are pedagogical in style and address students as well as scientists.