65 citations · 214 across the 11 of their papers we have counts for
6 papers · 1 filter
Seiberg-Witten curves and double-elliptic integrable systems
G. Aminov, H. W. Braden, A. Mironov +2
An old conjecture claims that commuting Hamiltonians of the double-elliptic integrable system are constructed from the theta-functions associated with Riemann surfaces from the Sei…
On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)
H. W. Braden, A. Marshakov, A. Mironov +1
We construct a two parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momen…
The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
H. W. Braden, A. Marshakov, A. Mironov +1
The compactification of five dimensional N=2 SUSY Yang-Mills (YM) theory onto a circle provides a four dimensional YM model with N=4 SUSY. This supersymmetry can be broken down to…
Affine Toda Solitons and Systems of Calogero-Moser Type
H. W. Braden, Andrew N. W. Hone
The solitons of affine Toda field theory are related to the spin-generalised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension…
-matrices for the Elliptic Calogero-Moser Models
H. W. Braden, Takashi Suzuki
The classical (dynamical) -matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that…
Singularity analysis in Affine Toda Theories
H. W. Braden, H. S. Cho, J. D. Kim +2
The leading and the subleading Landau singularities in affine Toda field theories are examined in some detail. Formulae describing the subleading simple pole structure of box diagr…