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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2023 Volume 19, 003, 9 pp. (Mi sigma1898)
A Note on Coupled Dirac Operators

Nigel J. Hitchin

Mathematical Institute, Woodstock Road, Oxford OX2 6GG, UK

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.

MSC: 53C07, 14D20

Received: November 1, 2022; in final form January 10, 2023; Published online January 13, 2023

Language: English

DOI: 10.3842/SIGMA.2023.003



Bibliographic databases:
ArXiv: 2210.17512

© Steklov Math. Inst. of RAS, 2025