No abstract available

[en] Constructing a self-consistent non-trivial restricted gauge theory of non-Abelian dyons by imposing magnetic symmetry as an additional internal symmetry, the dual symmetric gauge potential and generalised gauge field strength have been obtained in terms of magnetic vectors on global sections where magnetic symmetry chooses the colour direction without breaking gauge invariance. Suitable Lagrangian density has been constructed in this restricted gauge theory and it has been demonstrated that the generalised current for non-Abelian dyons is gauge covariant but not conserved. (author). 30 refs

No abstract available

[en] The renormalizability is discussed within the B.P.H.Z. scheme, of the non-semi-simple gauge models whose classical limit has been fully exposed in a first paper. Within this regularization independent approach renormalizability follows from the compensability, by a suitable choice of the radiative corrections to the Lagrangian, of the breakings which can affect the Slavnov identity. These breakings are 'a priori' controlled by the Lowenstein and Lam Quantum Action Principle and by a system of supplementary renormalization conditions prescribing the equations of motion of the Faddeev-Popov fields and the super-renormalizability of the couplings of those vector fields corresponding to the abelian factors of the gauge group. The supplementary conditions induce algebraic and dimensional (power counting) constraints which insure the compensability of all the breakings of maximum dimension except, of course, the Adler-Bardeen anomaly whose absence is assumed. Concerning the remaining soft breakings, it is shown that the Callan-Symanzik equation, in a very general context, also excludes their presence if the hard breakings are absent

No abstract available

[en] Generalized free (quasi-free according to previous work) states of the gauge invariant algebra of the canonical anticommutation relations (GICAR algebra) are discussed. This algebra is believed to be the appropriate algebra of observables for any physical system of fermions, possibly with infinite degree of freedom. (JFP)

[en] The Grassmannian representation for gauge-invariant amplitudes for arbitrary number of legs with one of them being off-shell is derived for the case of N = 4 SYM. The obtained formula are successfully checked against known BCFW results for MHV_n, NMHV₄ and NMHV₅ amplitudes.

[en] Einstein's theory of gravitation is a geometrical theory, it can however be considered as a gauge theory of the Lorentz group as well. It seems, therefore, to be worthwhile to exhibit the essential geometrical concepts which allow a formulation of gauge theories, of Einstein's gravitational theory, of supergauge theories and of supergravity as well. This common concepts are manifolds, tensor fields, differential forms, exterior derivatives, connection, covariant derivatives, torsion and curvature

[en] We study heterotic asymmetric orbifold models. By utilizing the lattice engineering technique, we classify (22,6)-dimensional Narain lattices with right-moving non-Abelian group factors which can be starting points for Z₃ asymmetric orbifold construction. We also calculate gauge symmetry breaking patterns

[en] In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry ($\mathcal{N}=(2,0)$ or $\mathcal{N}=(1,1)$ in two dimensions) for $\mathcal{N}=2$ non-Abelian Chern–Simons theories in the presence of a boundary. We describe the boundary action which is a supersymmetric WZW model coupled to the bulk Chern–Simons theory. Unlike the $\mathcal{N}=1$ case, higher supersymmetry ($\mathcal{N}=(2,0)$) will endow the group manifold of the WZW model with a complex structure. Therefore, the $\mathcal{N}=(2,0)$ WZW model in our paper is constructed via a coset space $G_c/G$, where G is the same as the gauge group in the Chern–Simons action.