Supersymmetries and Quantum Symmetries

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.

Includes supplementary material: sn.pub/extras

Inhalt
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.