spin geometry, string geometry, fivebrane geometry …
rotation groups in low dimensions:
see also
The differential equation encoded by a Dirac operator.
The equations of motion of the Dirac field.
The path integral approach to the Dirac equation is discussed in
Takashi Ichinose?, Hiroshi Tamura?, Path Integral Approach to Relativistic Quantum Mechanics: Two-Dimensional Dirac Equation, Progress of Theoretical Physics Supplement, Volume 92, April 1987, Pages 144–175, doi.
Pierre Gosselin?, Janos Polonyi?. Path Integral for Relativistic Equations of Motion, arXiv:hep-th/9708121.
Janos Polonyi?, Path Integral for the Dirac Equation, arXiv:hep-th/9809115.
Wataru Ichinose?, On the Feynman Path Integral for the Dirac Equation in the General Dimensional Spacetime, Communications in Mathematical Physics 329, 83–508 (2014), doi.
Wataru Ichinose?, Notes on the Feynman path integral for the Dirac equation, Journal of Pseudo-Differential Operators and Applications 9, 789–809 (2018), doi.
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