Strangely dual orbifold equivalence I

Abstract

In this brief note we prove orbifold equivalence between two potentials described by strangely dual exceptional unimodular singularities of type $K_{14}$ and $Q_{10}$ in two different ways. The matrix factorizations proving the orbifold equivalence give rise to equations whose solutions are permuted by Galois groups which differ for different expressions of the same singularity.

Appendix by the second author and Federico Zerbini

Cited by in corpus (2)

• Orbifolds of Reshetikhin-Turaev TQFTs
• Orbifold completion of 3-categories