Preon model and family replicated unification.
Problemi ellittici nonlineari nella teoria di gauge di Chern-Simons
Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy.
Renormalization of the quantum equation of motion for Yang--Mills fields in background formalism.
Representations of orbifold groups and parabolic bundles.
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
The based SU(n)-instanton moduli spaces.
The configuration space of gauge theory on open manifolds of bounded geometry
We define suitable Sobolev topologies on the space of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.
The generalized Lichnerowicz formula and analysis of Dirac operators.
The Group of Large Diffeomorphisms in General Relativity
We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.
The initial value problem of the Poincaré gauge theory in vacuum. II. First order formalism
The initial value problem of the Poincaré gauge theory in vacuum. I. Second order formalism
The list of volume's 32 (2003) referees