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haushofer

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haushofer

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<Moderator's note: post merged to this existing thread on the same topic>

Can someone explain to me how can D-brane coordinates take matrix form? After all, D-brane is embedded into 10-dimensional space. So if the 10 coordinates are numbers rather than matrixes, how is it possible for D-brane coordinates to suddenly be matrices? Or are you saying that some of those 10 coordinates of space are matrices as well?

Can someone explain to me how can D-brane coordinates take matrix form? After all, D-brane is embedded into 10-dimensional space. So if the 10 coordinates are numbers rather than matrixes, how is it possible for D-brane coordinates to suddenly be matrices? Or are you saying that some of those 10 coordinates of space are matrices as well?

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[tex](x,y) \to x+iy \to xI + yJ = \left(\begin{array}{cc} x & -y \\ y & x\end{array}\right)[/tex]

So that's some of how it *can* be done. Contrawise a matrix is a Vector in the abstract sense and lives in a vectors space of some dimensions.

These are general Linear Algebraic observations and you'll have to look up exactly how and why someone might do that for D-brane coordinates or someone else may be familiar with the specifics.

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