Schwinger-Fronsdal theory of abelian tensor gauge fields.
Singular Yang-Mills connections
Spinors in braided geometry
Let V be a ℂ-space, be a pre-braid operator and let This paper offers a sufficient condition on (σ,F) that there exists a Clifford algebra Cl(V,σ,F) as the Chevalley F-dependent deformation of an exterior algebra . If and F is non-degenerate then F is not a σ-morphism in σ-braided monoidal category. A spinor representation as a left Cl(V,σ,F)-module is identified with an exterior algebra over F-isotropic ℂ-subspace of V. We give a sufficient condition on braid σ that the spinor representation...
Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills Problems
This note summarizes the results obtained in [30]. We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the target in all homotopy classes and for the equivariant critical Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.
Status report on the instanton counting.
String picture of gauge fields
The article reviews attempts to formulate the theory of gauge fields in terms of a string theory.
Symmetry breaking via internal geometry.
Système de Yang-Mills-Vlasov en jauge temporelle