Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry
Instanton-anti-instanton solutions of discrete Yang-Mills equations
We study a discrete model of the Yang-Mills equations on a combinatorial analog of . Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both the techniques of a double complex and the quaternionic approach.
Instantons, topological strings, and enumerative geometry.
Kaluza-Klein or fibre bundles?
Moduli spaces of anti-self-dual connections on ALE gravitational instantons.
Monopôles de Seiberg-Witten et conjecture de Thom
Non-minimal Yang-Mills fields and dynamics.
Non-topological condensates in self-dual Chern-Simons gauge theory
This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.
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 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 the Donaldson polynomials of elliptic surfaces.
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 mini-superambitwistor space and super-Yang-Mills theory.
One-loop calculations and detailed analysis of the localized non-commutative gauge model.
Optique Géométrique et invariance de jauge : Solutions oscillantes d’amplitude critique pour les équations de Yang-Mills
Perturbative quantum gravity and its relation to gauge theory.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...