Supersymmetries and Quantum Symmetries, Softcover reprint of the original 1st ed. 1999
Proceedings of the International Seminar Dedicated to the Memory of V.I. Ogievetsky, Held in Dubna, Russia, 22–26 July 1997
Coll. Lecture Notes in Physics, Vol. 524

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.- Covariant harmonic supergraphity for N=2 super Yang-Mills theories.- Rigid N=2 superconformal hypermultiplets.- Ectoplasm has no topology: The prelude.- From supergravity to ballbearings.- On harmonic superspace.- Harmonic approach and quaternionic Taub-NUT metric.- Supergeometry in equivariant cohomology.- Harmonics, notophs and chiral bosons.- 3-Point functions in N=4 Yang-Mills in harmonic superspace.- Harmonic superspaces for three-dimensional theories.- The Neveu-Schwarz five-brane and its dual geometries.- Superembedding approach and generalized action in string/M-theory.- Domain walls and spacetime-filling branes.- The quantum geometry of branes.- String action on adS space.- Making manifest the symmetry enhancement for coinciding BPS branes.- On some stability properties of compactified D=11 supermembranes.- U-duality and M-theory cosmology.- Brane scattering and supersymmetric ?-model geometries.- Graviton scattering in eleven-dimensional supergravity.- Nilpotent marsh and SUSY QM.- On superconformal-like transformations and their nonlinear realization.- N=2 SUSY two-boson KP hierarchy, (derivative) NLS equation and miura transformations.- Third family of N=2 supersymmetric KdV hierarchies.- Integrals of motion, supersymmetric quantum mechanics and dynamical supersymmetry.- From LG to a butterfly resolution of unitary N=2 representations.- Super-affine hierarchies and their Poisson embeddings.- 1+1 Dimensional models of dilation gravity coupled to bosons and fermions.- Finite-size energy levels of the superintegrable chiral potts model.- Characteristic polynomials for quantum matrices.- Arbitrary spin massless bosonic fields in d-dimensional anti-de sitter space.- Direct mode summation for the Casimir energy of sphericalshell and compact ball.- On different BRST constructions for a given Lie algebra.- Higher-spin gauge theories — Integrability versus locality.- Global quantum anomaly.- Non-commutative space-time algebra and the spectrum of its operators.- Spinors in gravitation theory.- The notoph and its possible interactions.- Infinite-dimensional algebra of general covariance group as the closure of finite-dimensional algebras of conformal and linear groups.- Theory of dynamical affine and conformal symmetries as the theory of the gravitational field.- Structure of the supergravity group.- Grassmann analyticity and extension of supersymmetry.- Harmonic superspace: key to N=2 supersymmetry theories.- N=3 supersymmetric gauge theory.- Super-self-duality as analyticity in harmonic superspace.- List of main publications of V.I. Ogievetsky.

Includes supplementary material: sn.pub/extras