"The most beautiful thing we can experience is the mysterious. It is the source of all true art and science." Albert Einstein (1879-1955)

"A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature." Jules Henri Poincaré (1854-1912)

Gauge Theory

This page contains a collection of papers on gauge theory, in particular on topological defects such as instantons, magnetic monopoles, and solitons.

A. N. Aliev, J. Kalayci, and Y. Nutku, General minimal surface solution for gravitational instantons, Phys. Rev. D 56, 1332–1333 (1997)
Christopher Anand, Ward's solitons
Christopher Kumar Anand, Uniton Bundles
Michael Atiyah, Paul Sutcliffe, Skyrmions, instantons, mass and curvature
Roger Bielawski, Monopoles and the Gibbons-Manton metric
Benoit Charbonneau, Jacques Hurtubise, The Nahm transform for calorons
A. Comtet, Instantons and minimal surfaces, Phys. Rev. D 18, 3890–3892 (1978)
Gerald V. Dunne, Aspects of Chern_Simons Theory
Gerald V. Dunne, Vishesh Khemani, Numerical Investigation of Monopole Chains
Nigel Hitchin, The Wess-Zumino term for a harmonic map
N.J. Hitchin, N.S. Manton, M.K. Murray, Symmetric Monopoles
Conor Houghton, Nicholas Manton, Paul Sutcliffe, Rational Maps, Monopoles and Skyrmions
Theodora Ioannidou, Paul Sutcliffe, Monopoles and Harmonic Maps
Theodora Ioannidou, Paul Sutcliffe, Monopoles from Rational Maps
Theodora Ioannidou, Paul Sutcliffe, Non-Bogomolny \(\mathrm{SU}(N)\) BPS Monopoles
V. Kotacha, R. S. Ward, Integrable Yang-Mills-Higgs Equations in 3-Dimensional De Sitter Space-Time
Matilde Marcolli, Notes on Seiberg-Witten Gauge Theory
L. J. Mason, Global anti-self-dual Yang-Mills fields in split signature and their scattering
Michael K. Murray, Monopoles
Michael K. Murray, Michael A. Singer, A note on monopole moduli spaces
Michael K. Murray, Paul Norbury, Michael A. Singer, Hyperbolic monopoles and holomorphic spheres
Paul Norbury, Magnetic monopoles on manifolds with boundary
Y. Nutku, Gravitational Instantons and Minimal Surfaces, Phys. Rev. Lett. 77, 4702–4703 (1996)
M. K. Prasad and Charles M. Sommerfield, Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon, Phys. Rev. Lett. 35, 760–762 (1975)
Paul Sutcliffe, BPS Monopoles
George Svetlichny, Preparation for Gauge Theory
Bayram Tekin, Multi-instantons in \(\mathbb{R}^4\) and Minimal Surfaces in \(\mathbb{R}^{2,1}\)
Gerard 't Hooft, Falk Bruckmann, Monopoles, Instantons and Confinement
David Tong, TASI Lectures on Solitons
R. S. Ward, Two Integrable Systems Related to Hyperbolic Monopoles
Edward Witten, Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory, Phys. Rev. Lett. 38, 121–124 (1977)