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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 028, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.028 (Mi sigma1711) 		 
Stringy Kähler Moduli for the Pfaffian–Grassmannian Correspondence

Will Donovan

Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing 100084, China
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DOI: https://doi.org/10.3842/SIGMA.2021.028
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.
Funding agency Grant number
Ministry of Education, Culture, Sports, Science and Technology, Japan
EPSRC EP/R034826/1
Tsinghua University
I am supported 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.
Received: September 29, 2020; in final form March 10, 2021; Published online March 24, 2021
Bibliographic databases:
Document Type: Article
MSC: 14F08, 14J32, 14M15, 18G80, 81T30
Language: English
Citation: Will Donovan, “Stringy Kähler Moduli for the Pfaffian–Grassmannian Correspondence”, SIGMA, 17 (2021), 028, 22 pp.
Citation in format AMSBIB
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