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Spinors on orbifolds
In Euclidean case one should consider $n = 4\,m$ and in pseudo-Euclidean case $n = 4\,m - 2$, where $m = 1, 2, 3, \dots$ In this case the half of parallel spinors (of the same chirality) will be cut …
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Pseudo-Euclidean orbifolds
Are there any papers (reviews) devoted mainly to pseudo-Euclidean orbifolds in mathematics and physics (e.g. string theory)? … A more specific question is related to orbifolds of type $\mathbb R^{1,4m-3}/Z_2$, where $\mathbb R^{1,4m-3}$ is pseudo-Euclidean flat space of dimension $4m-2$, $m = 1,2, \dots$, with the standard action …