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## Summary:

- Can I construct real gamma matrices in 2+1 dimensions?

Hi!

Is it possible to construct gamma matrices satisfying the Clifford algebra ##\{\gamma^\mu, \gamma^\nu \} = \eta^{\mu \nu}## that are *real*, for ##\eta = diag(-1,1,1)##?

I know that I can construct them in principle from sigma matrices, but I don't know how to construct real gamma matrices..

And also, do the gamma matrices necessarily have to be 3-dimensional for d=2+1?

Is it possible to construct gamma matrices satisfying the Clifford algebra ##\{\gamma^\mu, \gamma^\nu \} = \eta^{\mu \nu}## that are *real*, for ##\eta = diag(-1,1,1)##?

I know that I can construct them in principle from sigma matrices, but I don't know how to construct real gamma matrices..

And also, do the gamma matrices necessarily have to be 3-dimensional for d=2+1?