Résultats exploitables East-West network on constrained dynamical systems The Queen Mary and Westfield College, London group has been engaged on research on geometric structures in W-symmetry and in Lie algebras, conformal field theories, Toda theories, and the WZNW and sigma models. Of particular significance has been the recent research on dualities in string theory, where again the QMW group has played a leading role on the world stage. At Tomsk State University the BRST Hamiltonian formalism for a general second class constraint system (split involution scheme) has been extended to cover the case of both constraint classes. Operatorial BRST quantization was studied in a number of theories with anomalies including closed cosmological models, gauge fields interacting with chiral and axial fermion currents and W3 gravity associated to the exceptional Jordan algebras. Models in quantum field theory where the notion of the integrability plays a crucial role were investigated at the Institute for Theoretical and Experimental Physics, Moscow. Quantum integrable models of two-dimensional field theories were investigated in the framework of the group-theoretical approach. Also studied were models of quantum field theory which are not-integrable in the naive approach but can be treated as solvable in the sense that the exact non-perturbative solutions have almost identical formulations for different models in terms of some effective completely integrable model. At the Lebedev Physics Institute, Moscow, a Lagrangian path integral has been proposed that is based on gauge symmetries generated by a symmetric higher-order ? -operator. It is demonstrated to be independent of the chosen gauge-fixing function. Second-class constraints in a Lagrangian path integral associated with a higher-order ? -operator have been described. Foundations of the field-antifield formalism of quantization of general gauge theories were developed in the covariant approach, where covariance is understood in the space of fields. The Hamiltonian approach to (super)-p-branes has been considered by the Yerevan Physics Institute group. The pseudoclassical Hamiltonian and action of the D=2n dimensional Dirac particle with anomalous "magnetic" moment interacting with the external Yang-Mills field has been found. The problem of the passage of a neutral massless particle with anomalous magnetic moment through an external electromagnetic field was considered both in pseudoclassical and quantum mechanics. The Kiev Institute for Theoretical Physics group conducted an investigation of the asymptotic expansion of the heat kernel on curved manifolds. This concentrated on improving an algorithm for symbolic computations of the coefficients in a heat kernel expansion, and implementing it in the C computing language. Implementation in the form of software packages provides a user with a useful tool for solving corresponding computational problems in other branches of physics and mathematics. Recherche de données OpenAIRE... Une erreur s’est produite lors de la recherche de données OpenAIRE Aucun résultat disponible
