37 citations · 156 across the 9 of their papers we have counts for
9 papers
On Charge-3 Cyclic Monopoles
H. W. Braden, Antonella D'Avanzo, V. Z. Enolski
We determine the spectral curve of charge 3 BPS su(2) monopoles with C_3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus…
Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions
H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky +1
We present a formula for a classical -matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of…
WDVV Equations as Functional Relations
H. W. Braden, A. Marshakov
We discuss the associativity or WDVV equations and demonstrate that they can be rewritten as certain functional relations between the {\it second} derivatives of a single function,…
On a Functional Equation of Ruijsenaars
J. G. B. Byatt-Smith, H. W. Braden
We obtain the general solution of the functional equation introduced by Ruijsenaars guaranteeing the commutativity of n operators associated with the quantum Ruijsenaars-Schneider…
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
H. Braden, A. Gorsky, A. Odesskii +1
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which i…
QCD, Wick's Theorem for KdV -functions and the String Equation
H. W. Braden, A. Mironov, A. Morozov
Two consistency conditions for partition functions established by Akemann and Dam-gaard in their studies of the fermionic mass dependence of the QCD partition function at low energ…