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# Chirality of the Electromagnetic Field Tensor

I have learned that chirality is a concept, that appears for $$(A,B)$$ representations of the Lorentz group, where $$A\neq B$$.

An example would be a Dirac spinor, corresponding to the representation $$(\tfrac{1}{2},0)\oplus(0,\tfrac{1}{2})$$, where we can identify left- and right-chiral components.

Wikipedia lists the electromagnetic field strength tensor $$F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu$$ as transforming under the $$(1,0)\oplus(0,1)$$ representation of the Lorentz group.

Supposing my first sentence is true, where can I see chirality in the electromagnetic field strength tensor?

 asked Sep 20 '18 at 5:26 Stephan 73333 silver badges1616 bronze badges