|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
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)
|
Submitter: 秦泉寺 雅夫
|
