By a suitable combination of Dirac's $\gamma_\mu$ matrices one can define creation and destruction operators satisfying fermionic anticommutators. Is there a similar result for bosons in the context of Clifford algebra. My interest, at present, is confined to $(1,3)$ spacetime.

  • $\begingroup$ Google "symplectic Clifford algebra". There are tons of papers around. Take for example "Boson algebra as a symplectic Clifford algebra" here: aip.scitation.org/doi/10.1063/1.527756. $\endgroup$ – MadMax May 28 at 17:59

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