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The following results summarize the relation between orientifold and D-brane, and SUSY charge $$ \begin{array}{l||c|c|c|c|c|c}\text{orientifold} &\text{O4} & \text{O3} & \text{O2} &\text{O1} & \text{O0} \\ \text{D-brane involved} & \text{D2} &\text{D3} & \text{D4}  &\text{D5} & \text{D6}\\ \text{SUSY on the D-brane} & \mathcal{N} =8 & \mathcal{N} = 4 & \mathcal{N} = 2 & \mathcal{N} =(1,1) & \mathcal{N} = 1 \\ \text{dimensons} & d=3 & d=4 & d=5 & d=6 & d=7 \end{array} $$ It looks that the spacetime dimensions correspond to $d=3$, $d=4$, $d=5$, $d=6$, and $d=7$.

Is it known how the SUSY charge $\mathcal{N}$ are related to the spacetime dimensions $d$?

But it seems that the relation does not directly relate to the familiar result between spacetime dimensions $d$ and SUSY charge $\mathcal{N}$? See https://physics.stackexchange.com/a/587879/42982

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