Supersymmetries and Quantum Symmetries: Proceedings of the International Seminar Dedicated to the Memory of V.I. Ogievetsky, Held in Dubna, Russia, 22–26 July 1997 (Lecture Notes in Physics)

this Book Is A Collection Of Papers In Honour Of Victor I. Ogievetsky. It Contains Reviews On Supersymmetry And Supergravity, Dualities, Integrable Systems, W (super)algebras And Quantum Symmetries. The Reader Will Also Find Reprints Of Some Of Ogievetsky's Pioneering Work On Supersymmetry. Linear and nonlinear supersymmetries....Pages 3-20 Covariant harmonic supergraphity for N =2 super Yang-Mills theories....Pages 21-36 Rigid N =2 superconformal hypermultiplets....Pages 37-45 Ectoplasm has no topology: The prelude....Pages 46-57 From supergravity to ballbearings....Pages 58-67 On harmonic superspace....Pages 68-78 Harmonic approach and quaternionic Taub-NUT metric....Pages 79-89 Supergeometry in equivariant cohomology....Pages 90-96 Harmonics, notophs and chiral bosons....Pages 97-105 3-Point functions in N =4 Yang-Mills in harmonic superspace....Pages 106-115 Harmonic superspaces for three-dimensional theories....Pages 116-123 The Neveu-Schwarz five-brane and its dual geometries....Pages 127-145 Superembedding approach and generalized action in string/M-theory....Pages 146-154 Domain walls and spacetime-filling branes....Pages 155-163 The quantum geometry of branes....Pages 164-181 String action on adS space....Pages 182-188 Making manifest the symmetry enhancement for coinciding BPS branes....Pages 189-197 On some stability properties of compactified D =11 supermembranes....Pages 198-209 U-duality and M-theory cosmology....Pages 210-216 Brane scattering and supersymmetric σ -model geometries....Pages 217-223 Graviton scattering in eleven-dimensional supergravity....Pages 224-232 Nilpotent marsh and SUSY QM....Pages 235-242 On superconformal-like transformations and their nonlinear realization....Pages 243-251 N =2 SUSY two-boson KP hierarchy, (derivative) NLS equation and miura transformations....Pages 252-260 Third family of N =2 supersymmetric KdV hierarchies....Pages 261-269 Integrals of motion, supersymmetric quantum mechanics and dynamical supersymmetry....Pages 270-276 From LG to a butterfly resolution of unitary N =2 representations....Pages 277-287 Super-affine hierarchies and their Poisson embeddings....Pages 288-298 1+1 Dimensional models of dilation gravity coupled to bosons and fermions....Pages 301-306 Finite-size energy levels of the superintegrable chiral potts model....Pages 307-321 Characteristic polynomials for quantum matrices....Pages 322-329 Arbitrary spin massless bosonic fields in d -dimensional anti-de sitter space....Pages 331-340 Direct mode summation for the Casimir energy of spherical shell and compact ball....Pages 341-347 On different BRST constructions for a given Lie algebra....Pages 348-357 Higher-spin gauge theories — Integrability versus locality....Pages 358-367 Global quantum anomaly....Pages 368-372 Non-commutative space-time algebra and the spectrum of its operators....Pages 373-379 Spinors in gravitation theory....Pages 383-390 The notoph and its possible interactions....Pages 391-396 Infinite-dimensional algebra of general covariance group as the closure of finite-dimensional algebras of conformal and linear groups....Pages 397-399 Theory of dynamical affine and conformal symmetries as the theory of the gravitational field....Pages 400-409 Structure of the supergravity group....Pages 410-412 Grassmann analyticity and extension of supersymmetry....Pages 413-417 Harmonic superspace: key to N =2 supersymmetry theories....Pages 418-422 N =3 supersymmetric gauge theory....Pages 423-426 Super-self-duality as analyticity in harmonic superspace....Pages 427-432 List of main publications of V.I. Ogievetsky....Pages 433-442