The Clifford-algebra resolution conjecture for the Calabi–Yau double cover
The Clifford-algebra resolution conjecture for the Calabi–Yau double cover
Let be the base of the Calabi–Yau double cover , let be the even part of the sheaf of Clifford algebras obtained from the quadratic GLSM superpotential, and write . Clifford-algebra resolution conjecture.
This proposes that the Clifford-module category gives a non-commutative resolution equivalent to the derived category of the double cover, fitting the expected homological mirror-symmetry picture; the source notes that the corresponding Fukaya category for the singular mirror is not yet defined.
Sources & referencesView supporting material
Primary source
Tsung-Ju Lee, Bong H. Lian and Mauricio Romo, “Non-commutative resolutions as mirrors of singular Calabi–Yau varieties”, arXiv:2307.02038 (2023).
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