Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order.
Oct 7, 2013Citations per year
Abstract: (FIZ Karlsruhe)
We construct and classify (12⋅k)-twisted V⊗k-modules for k odd and for V a vertex operator superalgebra. This extends previous results of the author, along with C. Dong and D. Mason [Commun. Math. Phys. 227, No. 2, 349–384 (2002; Zbl 1073.17008)], classifying all permutation-twisted modules for tensor product vertex operator algebras, to the setting of vertex operator superalgebras for odd order permutations. We show why this construction does not extend to the case of permutations of even order in the superalgebra case and how the construction and classification in the even order case is fundamentally different than that for the odd order permutation case. We present a conjecture made by the author and Nathan Vander Werf [On permutation-twisted free fermion vertex operator superalgebras and two conjectures, submitted] concerning the classification of permutation twisted modules for permutations of even order.Note:
- arXiv admin note: substantial text overlap with arXiv:math/9803118
- twisted sectors
- permutation orbifold
- superconformal field theory
- Zbl 1073.17008
- 17B69
- 17B68
- 81R10
- 81T40
- 81T60
- supersymmetry: algebra
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