Monopôles de Seiberg-Witten et conjecture de Thom
Multi-instantons in higher dimensions and superstring solitons.
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 the effective action of dressed mean fields for super-Yang-Mills theory.
On the mini-superambitwistor space and super-Yang-Mills theory.
On the polarizers of compact semi-simple Lie groups. Applications
-deformed superspace and -extended supersymmetric Hamiltonian with arbitrary superpotential
Sigma models with non-commuting complex structures and extended supersymmetry
We discuss additional supersymmetries for supersymmetric non-linear sigma models described by left and right semichiral superfields.
Status report on the instanton counting.
Supersymmetric representations and integrable fermionic extensions of the Burgers and Boussinesq equations.
Supersymmetry and Ghosts in Quantum Mechanics
2000 Mathematics Subject Classification: 81Q60, 35Q40.A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯] + m2), in order to...
Supersymmetry of affine Toda models as fermionic symmetry flows of the extended mkdv hierarchy.
Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in
By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.
The boundary value problem for Dirac-harmonic maps
Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...
The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism
The Cauchy-Riemann equations in anticomuting variables
The list of volume's 32 (2003) referees
The meaning of time and covariant superderivatives in supermechanics.
The wall of the cave