Adamović's orbifold quasi-lisse conjecture

Let

V=n0VnV=\bigoplus_{n\geqslant 0}V_n

be a simple positively graded quasi-lisse vertex algebra with V0CV_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.

Sources & referencesView supporting material

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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