Higgs bundle

In mathematics, a Higgs bundle is a holomorphic vector bundle E with a Higgs field φ, a holomorphic 1-form taking values in End(E) such that φ ∧ φ = 0. They were introduced by Hitchin (1987), who named them after Peter Higgs because of an analogy with Higgs bosons.

References

• Gothen, Peter B.; García-Prada, Oscar; Bradlow, Steven B. (2007), "What is... a Higgs bundle?", Notices of the American Mathematical Society 54 (8): 980–981, ISSN 0002-9920, MR2343296, http://www.ams.org/notices/200708/tx070800980p.pdf 
• Hitchin, N. J. (1987), "The self-duality equations on a Riemann surface", Proceedings of the London Mathematical Society. Third Series 55 (1): 59–126, doi:10.1112/plms/s3-55.1.59, ISSN 0024-6115, MR887284, http://dx.doi.org/10.1112/plms/s3-55.1.59 
• Simpson, Carlos T. (1992), "Higgs bundles and local systems", Publications Mathématiques de l'IHÉS (75): 5–95, ISSN 1618-1913, MR1179076, http://www.numdam.org/item?id=PMIHES_1992__75__5_0