nLab ADHM construction

Contents

Idea

A method for constructing Yang-Mills instanton solutions. (ADHM)

The original articles:

Michael Atiyah, Nigel Hitchin, Vladimir Drinfeld, Yuri Manin, Construction of instantons, Physics Letters A 65 3 (1978) 185-187 [doi:10.1016/0375-9601(78)90141-X]
Norman H. Christ, Erick J. Weinberg, and Nancy K. Stanton, General self-dual Yang-Mills solutions, Phys. Rev. D 18 6 (1978) [doi:10.1103/PhysRevD.18.2013]

(emphasis on well-separated instanton solutions)

Surveys:

Bert Lindenhovius, Instantons and the ADHM construction, Amsterdam (2011) [pdf]
Nick Dorey, Timothy J. Hollowood, Valentin V. Khoze, Michael P. Mattis, The Calculus of Many Instantons, Phys. Rept. 371 (2002) 231-459 [arXiv:hep-th/0206063, doi:10.1016/S0370-1573(02)00301-0]

In 8 dimensions:

Atsushi Nakamula, Shin Sasaki, Koki Takesue, ADHM construction of (anti-)self-dual instantons in eight dimensions, Nuclear Physics B 910 (2016) 199-224 [arXiv:1604.01893, doi:10.1016/j.nuclphysb.2016.06.026]

For the relation to Skyrmions see there.

Last revised on January 4, 2024 at 10:01:11. See the history of this page for a list of all contributions to it.