期刊
REVIEWS IN MATHEMATICAL PHYSICS
卷 13, 期 6, 页码 675-715出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129055X01000867
关键词
-
We study D-branes wrapping an exceptional four-cycle P(1, a, b) in a blown-up C-3/Z(m) non-compact Calabi-Yau threefold with (m; a, b) = (3;1,1),(4;1,2) and (6;2,3). In applying the method of local mirror symmetry we find that the Picard-Fuchs equations for the local mirror periods in the Z(3,4,6) orbifolds take the same form as the ones in the local E-6,E-7,E-8 del Pezzo models, respectively. It is observed, however, that the orbifold models and the del Pezzo models possess different physical properties because the background NS B-field is turned on in the case of Z(3,4,6) orbifolds. This is shown by analyzing the periods and their monodromies in full detail with the help of Meijer G-functions. We use the results to discuss D-brane configurations on P(1, a, b) as well as on del Pezzo surfaces. We also discuss the number theoretic aspect of local mirror symmetry and observe that the exponent which governs the exponential growth of the Gromov-Witten invariants is determined by the special value of the Dirichlet L-function.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据