Uvarov D. Supersymmetry and k-symmetry in relativistic particle, string and p-brane models

Object of study: processes of interaction of the quantized fundamental fields and gravity in the framework of M-theory. Objective: construct of new models of point and extended supersymmetric relativistic objects and investigation of their space-time and gauge symmetries. Methods: methods of classical and quantum field theory, superstring and p-brane theory, group theory and differential geometry. Novelty: established was that the recovery of the k-symmetry of the action of D=4 N=2 massive superparticle interacting with external electromagnetic superfield is achieved by taking into account its anomalous magnetic moment of the fixed value. Proposed were new twistor-like models of extended objects with partially spontaneously broken N=1 supersymmetry in superspace including tensorial central charge coordinates. Studied was the Hamiltonian structure of super p-branes with exotic supersymmetry and established was the noncommutativity of generalized super p-brane coordinates in the Dirac bracket algebra. Field of application: quantum field theory.