Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence

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dc.contributor.authorDonovan, Will
dc.date.accessioned2025-12-29T11:11:01Z
dc.date.issued2021
dc.description.abstractThe 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.
dc.description.sponsorshipIn celebration of his 77th birthday, I am pleased to express my gratitude to Kyoji Saito for his kindness and interest over the years. I also want to thank N. Addington and E. Segal for the great experience of working on our paper [1], of which this work is a continuation. I amsupported by the Yau MSC, Tsinghua University, and the Thousand Talents Plan. I also acknowledge the support of WPI Initiative, MEXT, Japan, and of EPSRC Programme Grant EP/R034826/1. I am grateful for conversations with K. Hori, who made me aware of the windows used here, for discussions with R. Eager, A. Kuznetsov, and M. Romo, and for helpful suggestions from anonymous referees. In the last stage of this project, I was away from my home institution due to the coronavirus pandemic, so I am especially appreciative of hospitality and support from Kavli IPMU, in particular Y. Ito and M. Kapranov, and from B. Kim at KIAS, and M. Wemyss at Glasgow University.
dc.identifier.citationStringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence. Will Donovan. SIGMA 17 (2021), 028, 22 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.028
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 14F08; 14J32; 14M15; 18G80; 81T30
dc.identifier.otherarXiv:2009.12630
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211321
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleStringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік