90 citations · 313 across the 8 of their papers we have counts for
8 papers
Commuting charges and symmetric spaces
J. M. Evans, A. J. Mountain
Every classical sigma-model with target space a compact symmetric space (with classical) is shown to possess infinitely many local, commuting, conserved charges which can…
Conserved charges and supersymmetry in principal chiral and WZW models
J. M. Evans, M. Hassan, N. J. MacKay +1
Conserved and commuting charges are investigated in both bosonic and supersymmetric classical chiral models, with and without Wess-Zumino terms. In the bosonic theories, there are…
Two monopoles of one type and one of another
Conor Houghton, Patrick Irwin, A. J. Mountain
The metric on the moduli space of charge (2,1) SU(3) Bogomolny-Prasad-Sommerfield monopoles is calculated and investigated. The hyperKahler quotient construction is used to provide…
Local conserved charges in principal chiral models
J. M. Evans, M. Hassan, N. J. MacKay +1
Local conserved charges in principal chiral models in 1+1 dimensions are investigated. There is a classically conserved local charge for each totally symmetric invariant tensor of…
Invariant tensors and Casimir operators for simple compact Lie groups
A. J. Mountain
The Casimir operators of a Lie algebra are in one-to-one correspondence with the symmetric invariant tensors of the algebra. There is an infinite family of Casimir operators whose…
Conserved Charges and Supersymmetry in Principal Chiral Models
J. M. Evans, M. Hassan, N. J. MacKay +1
We report on investigations of local (and non-local) charges in bosonic and supersymmetric principal chiral models in 1+1 dimensions. In the bosonic PCM there is a classically cons…
Invariant tensors for simple groups
J. A. de Azcarraga, A. J. Macfarlane, A. J. Mountain +1
The forms of the invariant primitive tensors for the simple Lie algebras A_l, B_l, C_l and D_l are investigated. A new family of symmetric invariant tensors is introduced using the…
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…