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SIGMA, 2021 Volume 17, 028, 22 pp. (Mi sigma1711)

Stringy Kähler Moduli for the Pfaffian–Grassmannian Correspondence

Will Donovan

Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing 100084, China

Abstract: The Pfaffian–Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi–Yau 3-folds. Given such a pair, I construct a set of derived equivalences corresponding to mutations of an exceptional collection on the relevant Grassmannian, and give a mirror symmetry interpretation, following a physical analysis of Eager, Hori, Knapp, and Romo.

Keywords: Calabi–Yau threefolds, stringy Kähler moduli, derived category, derived equivalence, matrix factorizations, Landau–Ginzburg model, Pfaffian, Grassmannian.

MSC: 14F08, 14J32, 14M15, 18G80, 81T30

Received: September 29, 2020; in final form March 10, 2021; Published online March 24, 2021

Language: English

DOI: 10.3842/SIGMA.2021.028



Bibliographic databases:
ArXiv: 2009.12630


© Steklov Math. Inst. of RAS, 2024