# Limit on space-time dimension from susy

I read an argument saying that it would be impossible to write down a super-symmetric theory in more than 11 dimensions, this limit coming from the dimension of the Clifford algebra that goes as $2^{\frac{N}{2}}$ or $2^{\frac{N-1}{2}}$ for $N$ even or odd, respectively.

I haven't studied a lot of susy and I don't see how it wouldn't be possible to create a super-symmetric multiplet in higher dimensions as long as we add enough scalar fields (${\cal{N}} =1$ in my example) to match the fermionic degrees of freedom.

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You can go up to 12 dimensions, if you have 2 time dimensions. – Ron Maimon Nov 2 '12 at 17:36