Noncommutative spaces and matrix embeddings on flat R^{2n+1}

Understand

We conjecture an embedding operator which assigns, to any 2n+1 hermitian matrices, a 2n-dimensional hypersurface in flat (2n + 1)-dimensional Euclidean space.

• This corresponds to precisely defining a fuzzy D(2n)-brane corresponding to N D0-branes.
• Points on the emergent hypersurface correspond to zero eigenstates of the embedding operator, which have an interpretation as coherent states underlying the emergent noncommutative geometry.
• Using this correspondence, all physical properties of the emergent D(2n)-brane can be computed.