mathematical-physics / Mirror Symmetry, Topological Recursion

Remodeling for the Affine Binary Dihedral Calabi–Yau Threefold

The paper proves a closed-string remodeling statement for the affine binary dihedral Calabi–Yau orbifold threefold, a target outside the toric setting of the Bouchard–Klemm–Mariño–Pasquetti remodeling conjecture, replacing the toric mirror curve by a type-$D_l$ logarithmic Toda curve and the topological recursion by its $\mathbb{Z}_2$-equivariant form.

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The paper proves a closed-string remodeling statement for the affine binary dihedral Calabi–Yau orbifold threefold, a target outside the toric setting of the Bouchard–Klemm–Mariño–Pasquetti remodeling conjecture, replacing the toric mirror curve by a type-$D_l$ logarithmic Toda curve and the topological recursion by its $\mathbb{Z}_2$-equivariant form.

A variant rather than the BKMP conjecture itself: the target lies outside the toric setting the conjecture addresses.

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Remodeling for the Affine Binary Dihedral Calabi–Yau Threefold — Mathematical Frontier Network