Super orbifold theory

@article{Dong2022SuperOT,
  title={Super orbifold theory},
  author={Chongying Dong and Li Ren and Mei-chun Yang},
  journal={Advances in Mathematics},
  year={2022}
}

References

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Author(s): Petersen, Charles Anthony | Advisor(s): Dong, Chongying | Abstract: Let $V$ be a vertex operator superalgebra and $\sigma$ the order $2$ automorphism \linebreak associated with the
Orbifolds and minimal modular extensions
Let V be a simple, rational, C2-cofinite vertex operator algebra and G a finite group acting faithfully on V as automorphisms, which is simply called a rational vertex operator algebra with a
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<p>Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V"> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation
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Let $V$ be a vertex operator algebra, $k$ a positive integer and $\sigma$ a permutation automorphism of the vertex operator algebra $V^{\otimes k}$. In this paper, we determine the fusion product of
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For any vertex operator superalgebra V=V0⊕V1 satisfying the C2-cofiniteness, it is proved that rationality of V, rationality of V0 and σ-rationality of V are equivalent under certain condition.
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Let be a finite group, a field. A twisted group algebra A() on over is an associative algebra whose elements are the formal linear combinations and in which the product (A)(B) is a non-zero multiple
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