The Sen Limit
The Sen Limit
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森极限
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
M. Wijnholt
中科院分区：
文献类型：
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作者：
A. Clingher;R. Donagi;M. Wijnholt
椭圆型Calabi-Yau流形上的F-理论紧化可以通过在复结构模空间中取一定的极限而与IIb紧化相联系，A. Sen.极限的特征是基于椭圆纤维化的SL（2，Z）单值性。相反，我们引入一个稳定版本的森极限。在这幅图中，椭圆形的卡-丘分裂成两部分，一个P^1丛和一个圆锥丛，它们的相交产生了IIb时空。我们得到F-理论和微扰IIb型之间的精确匹配。这种对应是全息的，在这个意义上，似乎散布在F理论卡-丘大部分中的物理量可以重写为对数边界上的表达式。平滑F理论的卡-丘对应于对IIb理论的D（-1）瞬子修正的求和。
F-theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex structure moduli space, introduced by A. Sen. The limit has been characterized on the basis of SL(2,Z) monodromies of the elliptic fibration. Instead, we introduce a stable version of the Sen limit. In this picture the elliptic Calabi-Yau splits into two pieces, a P^1-bundle and a conic bundle, and the intersection yields the IIb space-time. We get a precise match between F-theory and perturbative type IIb. The correspondence is holographic, in the sense that physical quantities seemingly spread in the bulk of the F-theory Calabi-Yau may be rewritten as expressions on the log boundary. Smoothing the F-theory Calabi-Yau corresponds to summing up the D(-1)-instanton corrections to the IIb theory.