Orbifold rationality conjecture for strongly rational vertex operator algebras

Let VV be a strongly rational vertex operator algebra, and let GG be a finite group of automorphisms of VV. The conformal subalgebra VGV^G consists of the GG-invariant states.

Orbifold rationality conjecture. The conformal subalgebra VGV^G is also strongly rational.

This is a widely believed conjecture concerning orbifolds of vertex operator algebras. Its status is not specified in the source.

Sources & referencesView supporting material

Primary source

Terry Gannon and Brandon C. Rayhaun, “Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras”, arXiv:2606.05279 (2026).

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