O(2) action on the 5-sphere.
On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model
On a problem of Seiberg and Witten
We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve .
On action invariance under linear spinor-vector supersymmetry.
On charged fields with group symmetry and degeneracies of Verlinde's matrix S*
On constant solutions of the Yang-Mills equations
On multivortex solutions in Chern-Simons gauge theory
Motivati dall'analisi asintotica dei vortici nella teoria di Chern-Simons-Higgs, si studia l'equazione dove é il toro piatto bidimensionale. In contrasto con l'analogo problema di Dirichlet, si dimostra che per l'equazione ammette una soluzione non banale. Tale soluzione cattura il carattere bidimensionale dell'equazione, nel senso che, per tali valori di , l'equazione non può ammettere soluzioni (periodiche) non banali dipendenti da una sola variabile (vedi [10]).
On nets of local algebras on , covariant with respect to the discrete Poincaré group ; causality and scattering theory
On path integration on noncommutative geometries
We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function.
On quantum fields and systems with ordered ground state.
On solutions of the KZ and qKZ equations at level zero
On spin and modularity in conformal field theory
On the automorphisms of principal fibre bundles
On the cohomology of twistor flag spaces
On the Donaldson polynomials of elliptic surfaces.
On the effective action of dressed mean fields for super-Yang-Mills theory.
On the existence of the functional measure for 2D Yang-Mills theory
We prove the existence of the path-integral measure of two-dimensional Yang-Mills theory, as a probabilistic Radon measure on the "generalized orbit space" of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski.
On the integrability of the generalized Yang-Mills system
We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.
On the mass spectrum of Higgs particles
On the mini-superambitwistor space and super-Yang-Mills theory.