1968
DOI: 10.1063/1.3035084
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The Theory of Spinors

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Cited by 172 publications
(377 citation statements)
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“…The SO(r) bundle P SO(r) = P 1 /SO(2) fits into a commutative diagram similar to (3). By exactness, we have π 1 (Q×P SO(r) ) = {0} and we cannot have a Spin r structure.…”
Section: Commutes ✷mentioning
confidence: 99%
See 1 more Smart Citation
“…The SO(r) bundle P SO(r) = P 1 /SO(2) fits into a commutative diagram similar to (3). By exactness, we have π 1 (Q×P SO(r) ) = {0} and we cannot have a Spin r structure.…”
Section: Commutes ✷mentioning
confidence: 99%
“…Our main motivation has been the relation of almost complex structures with "classical pure spinors" (and Spin c structures). Cartan defined pure spinors [3,4,5] in order to characterize (almost) complex structures and, almost one hundred years later, they are still being used in related geometrical problems [2]. Furthermore, these spinor fields have been related to the notion of calibrations on a Spin manifold by Harvey and Lawson [11,6], since distinguished differential forms are naturally associated to a spinor field and, in particular, give rise to special differential forms on immersed hypersurfaces.…”
Section: Introductionmentioning
confidence: 99%
“…The spinorial representations of SO(1, D − 1) group changes depending on the dimensionality of space-time [33]. There is a very instructive way to build the 1/2 spin representations in arbitrary dimensions [34], which is very common in String Theory.…”
Section: Review Of Spinors In Arbitrary Dimensionsmentioning
confidence: 99%
“…Cartan [1] formulated the coupling of 4-dimensional spinors A, B, C, D and 4-dimensional vectors E, E ′ using the Clifford algebra, which is a generalization of quaternions and octonions.…”
Section: Introductionmentioning
confidence: 99%