65 citations · 214 across the 11 of their papers we have counts for
11 papers
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…
Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion
H. W. Braden, V. Z. Enolski, Yu. N. Fedorov
We present an algebraic geometrical and analytical description of the Goryachev case of rigid body motion. It belongs to a family of systems sharing the same properties: although c…
Bring's Curve: its Period Matrix and the Vector of Riemann Constants
Harry W. Braden, Timothy P. Northover
Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, . Riera and Rodríguez have provided the most detailed study of the curve thus far via a h…
Cyclic Monopoles, Affine Toda and Spectral Curves
H. W. Braden
We show that any cyclically symmetric monopole is gauge equivalent to Nahm data given by Sutcliffe's ansatz, and so obtained from the affine Toda equations. Further the direction (…
Klein's Curve
H. W. Braden, T. P. Northover
By giving an homology basis well adapted to the symmetries of Klein's curve, presented as a plane curve, we derive a new expression for its period matrix. This is explicitly relate…
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…
The General Analytic Solution of a Functional Equation of Addition Type
H. W. Braden, V. M. Buchstaber
The general analytic solution to the functional equation $$ ϕ_1(x+y)= { { \biggl|\matrix{ϕ_2(x)&ϕ_2(y)\crϕ_3(x)&ϕ_3(y)\cr}\biggr|} \over { \biggl|\matrix{ϕ_4(x)&ϕ_4(y)\crϕ_5(x)&ϕ_5…
-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…