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- logarithmic Toda curve and the topological recursion by its -equivariant form.
- Result
- Proved(see note)
- Status
- Variant only
- AI contribution
- AI-discovered
- Method
- Argument
- Field
- Mirror Symmetry, Topological Recursion
- Posed by
- Bouchard, Klemm, Mariño and Pasquetti (remodeling conjecture)
- Year posed
- —
- Years open
- —
- Solved
- 2026-07-08
- Model
- Rethlas-based system
- Vendor
- —
- Collaborators
- Bohan Fang, Zhuoming Lan, Jingxiang Ma
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 15 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What was actually shown
A variant rather than the BKMP conjecture itself: the target lies outside the toric setting the conjecture addresses.
What the AI did
The paper states plainly that the mathematics of the paper was generated by a Rethlas-based system under a human-provided strategy and initial input, using an orchestrator the authors built to spawn agents.
Verification
No independent check, and the authors describe the mathematical content as machine-generated under their strategy. Preprint, not refereed.