Adamović's orbifold quasi-lisse conjecture

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Let

V=⨁n⩾0VnV=\bigoplus_{n\geqslant 0}V_n

be a simple positively graded quasi-lisse vertex algebra with V0≅CV_0\cong\mathbb{C}, and let GG be a finite solvable automorphism group of VV. Adamović's conjecture. The fixed-point vertex algebra VGV^G is also quasi-lisse.

This conjecture concerns preservation of the quasi-lisse property under finite solvable orbifolds. The result in the paper supports it by providing examples, but its general status is not resolved there.

References

Primary source

Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel, Bohan Li and Anne Moreau, “On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs”, arXiv:2403.04472 (2024).

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