14 citations · 39 across the 4 of their papers we have counts for
12 papers · 1 filter
Hidden supersymmetries in supersymmetric quantum mechanics
J. A. de Azcárraga, J. M. Izquierdo, A. J. Macfarlane
We discuss the appearance of additional, hidden supersymmetries for simple 0+1 -invariant supersymmetric models and analyse some geometrical mechanisms that lead to them. It…
Monopole supersymmetries and the Biedenharn operator
P. A. Horváthy, A. J. Macfarlane, J. -W. van Holten
The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin $\2$ particle in the combined field of a Dirac monopole plus a potential [cons…
Fermionic realisations of simple Lie algebras
J. A. de Azcárraga, A. J. Macfarlane
We study the representation of a simple compact Lie algebra $\g$ of rank l constructed with the aid of the hermitian Dirac matrices of a (${\rm dim} \g$)-dimensional euc…
Higher order BRST and anti-BRST operators and cohomology for compact Lie algebras
C. Chryssomalakos, J. A. de Azcarraga, A. J. Macfarlane +1
After defining cohomologically higher order BRST and anti-BRST operators for a compact simple algebra {\cal G}, the associated higher order Laplacians are introduced and the corres…
Effective actions, relative cohomology and Chern Simons forms
J. A. de Azcarraga, A. J. Macfarlane, J. C. Perez Bueno
The explicit expression of all the WZW effective actions for a simple group G broken down to a subgroup H is established in a simple and direct way, and the formal similarity of th…
Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model
A. J. Macfarlane, A. J. Mountain
This paper addresses an issue essential to the study of hidden supersymmetries (meaning here ones that do not close on the Hamiltonian) for one-dimensional non-linear supersymmetri…