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In 1611.06536, at the top of p.37 the phrasing “super Lie algebra of bosonic dimension 10+2” is just suggestive, right? It does not claim it has any relation with a space of signature (10,2) (as indeed the extension described below that still has only one timelike dimension), correct?
Yes, that’s why the name of the super Lie algebra still has a “$\ldots, 1$” in the superscript.
Since it’s not a super-Minkowski algebra anymore, the usual naming conventions don’t quite apply;
but since it’s in a manifest way a spatially “doubled” form of a Minkowski algebra, it’s still certainly to be thought of as having a single time dimension, yes.
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