The construction of Dirac operators on orientifolds
نویسندگان
چکیده
Motivated by Wigner's theorem, a canonical construction is described that produces an Atiyah-Singer Dirac operator with both unitary and anti-unitary symmetries. This includes the for KR-theory as special case, filling long-standing gap in literature. In order to make construction, orientifold Spin-c-structures are defined classified using semi-equivariant Dixmier-Douady theory, analogues of several standard theorems on existence proved.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2021
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2021.104361