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

Jonathan Bagger, Alexander Galperin (auth.), Julius Wess, Evgeny A. Ivanov (eds.)3540660046, 9783540660040

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.

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Table of contents :
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