Local Calabi-Yau manifolds of type \tilde{A} via SYZ mirror symmetry

Autor:	Kanazawa, Atsushi, Lau, Siu-Cheong
Rok vydání:	2016
Předmět:	Mathematics - Algebraic Geometry High Energy Physics - Theory Mathematics - Symplectic Geometry 53D37 14J33 14J32 14N35
Druh dokumentu:	Working Paper
Popis:	We carry out the SYZ program for the local Calabi--Yau manifolds of type $\widetilde{A}$ by developing an equivariant SYZ theory for the toric Calabi--Yau manifolds of infinite-type. Mirror geometry is shown to be expressed in terms of the Riemann theta functions and generating functions of open Gromov--Witten invariants, whose modular properties are found and studied in this article. Our work also provides a mathematical justification for a mirror symmetry assertion of the physicists Hollowood--Iqbal--Vafa. Comment: v3: 43 pages, 12 figures, improved exposition
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.00342 Zobrazit plný text záznamu View this record from Arxiv