Hidden symmetry and higher currents in a supersymmetric gauge field theory

Explicit expressions are obtained for the nonlocal conserved currents in theN=4 supersymmetric gauge theory.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 133, pp. 6–16, 1984.     

Comparison of quantum field perturbation theory for the light front with the theory in Lorentz coordinates

The relationship between the perturbation theory in light-front coordinates and Lorentz-covariant perturbation theory is investigated. A method for finding the difference between separate terms of the corresponding series without their explicit evaluation is proposed. A procedure of constructing additional counter-terms to the canonical Hamiltonian that compensate this difference at any finite order is proposed. For the Yukawa model, the light-front Hamiltonian with all of these counter-terms is obtained in a closed form. Possible application of this approach to gauge theories is discussed. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 112, No. 3, pp. 399–416. September, 1997.     

Spontaneous symmetry breaking in cosmological models with rotation

Perm State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 74, No. 3, pp. 463–468, March, 1988.     

Electrically charged solitons in gauge field theory

Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and magnetic charges, called dyons, which are useful in modeling elementary particles. Mathematically, the existence of dyons presents interesting variational partial differential equation problems, subject to topological constraints. This article is a survey on recent progress in the study of dyons.     

The quantum symmetry of rational field theories

The quantum symmetry of a rational quantum field theory is a finite-dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided monoidal C^*-category. Various properties of such algebraic structures are described, and some ideas concerning the classification programme are outlined.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98, No. 3, pp. 388–403, March, 1994.