Geometric algebra techniques in flux compactifications

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Using techniques originating in a certain
approach to Clifford bundles known as "geometric algebra", I discuss
a geometric reformulation of constrained generalized Killing spinor equations
which proves to be particularly effective in the study and classification of
supersymmetric flux compactifications of string and M-theory. As an
application, I discuss the most general N=2 compactifications of M-theory to
three dimensions, which were never studied in full generality before. I also
touch upon the connection of such techniques with a certain variant of the
quantization of spin systems.