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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 003, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.003 (Mi sigma1898) 		 
A Note on Coupled Dirac Operators

Nigel J. Hitchin

Mathematical Institute, Woodstock Road, Oxford OX2 6GG, UK
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DOI: https://doi.org/10.3842/SIGMA.2023.003
Abstract: The article considers some concrete solutions to the Dirac equation coupled to a vector bundle with connection, arising in the study of Yang–Mills equations and vector bundles on Riemann surfaces.
Keywords: Dirac equation, spinor, Yang–Mills, holomorphic structure, index theorem.
Received: November 1, 2022; in final form January 10, 2023; Published online January 13, 2023
Bibliographic databases:
Document Type: Article
MSC: 53C07, 14D20
Language: English
Citation: Nigel J. Hitchin, “A Note on Coupled Dirac Operators”, SIGMA, 19 (2023), 003, 9 pp.
Citation in format AMSBIB
\Bibitem{Hit23}
\by Nigel~J.~Hitchin
\paper A Note on Coupled Dirac Operators
\jour SIGMA
\yr 2023
\vol 19
\papernumber 003
\totalpages 9
\mathnet{http://mi.mathnet.ru/sigma1898}
\crossref{https://doi.org/10.3842/SIGMA.2023.003}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4533558}
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