Outputs (3)

Integrable (2k)-Dimensional Hitchin Equations (2016)
Journal Article
Ward, R. (2016). Integrable (2k)-Dimensional Hitchin Equations. Letters in Mathematical Physics, 106(7), 951-958. https://doi.org/10.1007/s11005-016-0849-3

This letter describes a completely integrable system of Yang–Mills–Higgs equations which generalizes the Hitchin equations on a Riemann surface to arbitrary k-dimensional complex manifolds. The system arises as a dimensional reduction of a set of int... Read More about Integrable (2k)-Dimensional Hitchin Equations.

Symmetric Instantons and Discrete Hitchin Equations (2016)
Journal Article
Ward, R. (2016). Symmetric Instantons and Discrete Hitchin Equations. Journal of Integrable Systems, 1(1), Article xyw001. https://doi.org/10.1093/integr/xyw001

Self-dual Yang–Mills instantons on correspond to algebraic ADHM data. The ADHM equations for [Math Processing Error]-symmetric instantons give a one-dimensional integrable lattice system, which may be viewed as an discretization of the Nahm equations... Read More about Symmetric Instantons and Discrete Hitchin Equations.

Geometry of Solutions of Hitchin Equations on R^2 (2016)
Journal Article
Ward, R. (2016). Geometry of Solutions of Hitchin Equations on R^2. Nonlinearity, 29(3), Article 756. https://doi.org/10.1088/0951-7715/29/3/756

We study smooth SU(2) solutions of the Hitchin equations on ${{\mathbb{R}}^{2}}$ , with the determinant of the complex Higgs field being a polynomial of degree n. When $n\geqslant 3$ , there are moduli spaces of solutions, in the sense that the natur... Read More about Geometry of Solutions of Hitchin Equations on R^2.