Geometry of solutions of Hitchin equations on ${{\mathbb{R}}^{\mathbf{2}}}$

DOI10.1088/0951-7715/29/3/756zbMath1451.53060arXiv1504.05746OpenAlexW2963173843MaRDI QIDQ2807471

Richard Samuel Ward

Publication date: 25 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05746

zbMATH Keywords

moduli spaceshyperkähler metricsHitchin equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Axially symmetric solutions to PDEs (35B07)

Related Items (6)

On the Moyal deformation of Kapustin-Witten systems ⋮ On 2k-Hitchin’s equations and Higgs bundles: A survey ⋮ The (2, 0) superalgebra, null M-branes and Hitchin's system ⋮ Self-dual gravity via Hitchin’s equations ⋮ Integrable \((2k)\)-dimensional Hitchin equations ⋮ Nonabelian probes in holography

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