Supersymmetries and Quantum Symmetries

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