How are Dirac operators and spin geometry used in physics?

anonymous dude

New member
I've been studying Dirac operators for the last few months as part of my work on the Atiyah-Singer Index theorem. Apparently these gadgets and the spinor bundles on which they act were invented by Dirac to solve some sort of problem in quantum mechanics. Does anybody know about Dirac's original motivation, or at least how these objects are used now?
 
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