Rigid limit for hypermultiplets and five-dimensional gauge theories

Rigid limit for hypermultiplets and five-dimensional gauge theories
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超多重态和五维规范理论的刚性极限

DOI:
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发表时间:
2017
影响因子:
5.4
通讯作者:
Pietro Longhi
Pietro Longhi
中科院分区:
物理与天体物理2区
文献类型:
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作者:
S. Alexandrov;Sibasish Banerjee;Pietro Longhi

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我们研究了在IIB型弦理论的Calabi-Yau紧化中出现的一类超乘模空间的刚性极限,它是由Calabi-Yau的局部极限引起的。我们证明了所得到的超kähler流形是通过在模空间上沿着极限中产生的等距运算对Swann丛进行超kähler商而得到的。在物理上,这个流形表现为通过将五维规范理论压缩在环面上而得到的非线性西格玛模型的目标空间。这使得可以根据弦理论中D瞬子的已知结果来计算规范理论的双子和弦瞬子。此外,我们根据Calabi-Yau的交集数给出了非平凡局部极限存在的一个简单条件,并找到了包含所有相互独立的非局部D-瞬子的修正的超多重度量的显式形式。
We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkähler manifold is obtained by performing a hyperkähler quotient of the Swann bundle over the moduli space, along the isometries arising in the limit. Physically, this manifold appears as the target space of the non-linear sigma model obtained by compactification of a five-dimensional gauge theory on a torus. This allows to compute dyonic and stringy instantons of the gauge theory from the known results on D-instantons in string theory. Besides, we formulate a simple condition on the existence of a non-trivial local limit in terms of intersection numbers of the Calabi-Yau, and find an explicit form for the hypermultiplet metric including corrections from all mutually non-local D-instantons, which can be of independent interest.
DOI: 10.4310/cntp.2012.v6.n4.a5
发表时间: 2012-05
影响因子: 1.9
作者:
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通讯作者: A. Klemm;J. Manschot;Thomas Wotschke
DOI: 10.1007/jhep02(2015)158
发表时间: 2014-11
影响因子: 5.4
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