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Local mirror symmetry of curves : Yukawa couplings and genus 1
Title: | Local mirror symmetry of curves : Yukawa couplings and genus 1 |
Authors: | Forbes, Brian Browse this author | Jinzenji, Masao Browse this author →KAKEN DB |
Issue Date: | Jan-2007 |
Publisher: | International Press |
Journal Title: | Advances in Theoretical and Mathematical Physics |
Volume: | 11 |
Issue: | 1 |
Start Page: | 175 |
End Page: | 197 |
Abstract: | We continue our study of equivariant local mirror symmetry of curves, i.e., mirror symmetry for Xk = O(k)⊕O(−2 − k) → P1 with torus action (λ1, λ2) on the bundle. For the antidiagonal action λ1 = −λ2, we find closed formulas for the mirror map, a rational B model Yukawa coupling and consequently Picard–Fuchs equations for all k. Moreover, we give a simple closed form for the B model genus 1 Gromov–Witten potential. For the diagonal action λ1 = λ2, we argue that the mirror symmetry computation is equivalent to that of the projective bundle P(O⊕O(k)⊕O(−2 − k)) → P1. Finally, we outline the computation of equivariant Gromov–Witten invariants for An singularities and toric tree examples via mirror symmetry. |
Rights: | ©2007 International Press |
Type: | article |
URI: | http://hdl.handle.net/2115/30115 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 秦泉寺 雅夫
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