Mirror-symmetry prediction for BPS invariants of Pfaffian Calabi–Yau threefolds of degrees 5, 7 and 10

Let XiX_i be the Pfaffian Calabi–Yau threefold for i{5,7,10}i\in\{5,7,10\}, and let {ndg}dN\{n_d^g\}_{d\in\mathbb{N}} be the numbers listed in the Appendix. BPS-invariant conjecture. The BPS invariants of XiX_i, for i{5,7,10}i\in\{5,7,10\}, coincide with the numbers {ndg}dN\{n_d^g\}_{d\in\mathbb{N}} in the Appendix, as mirror symmetry predicts. The claim is part of the paper’s verification of mirror phenomena through computed invariants; the supplied text does not report a proof or a resolution beyond that comparison.

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Primary source

Atsushi Kanazawa, “Pfaffian Calabi-Yau Threefolds and Mirror Symmetry”, arXiv:1006.0223 (2013).

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