One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
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IIA 型超弦矩阵模型中任意属处非 SUSY 算子的单点函数
DOI：
10.1016/j.nuclphysb.2017.03.018
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
T. Kuroki and F. Sugino
中科院分区：
文献类型：
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作者：
Yuta Hamada;Hikaru Kawai;Yukari Nakanishi;Kin-ya Oda;T. Kuroki and F. Sugino
在上一篇论文中，作者从对称性和谱的角度指出了Ramond-Ramond背景下超对称双井矩阵模型与二维IIA型超弦理论的对应关系。矩阵模型中的平面相关函数与超弦理论中的树级振幅之间的一致性证实了这一点。为了进一步研究对应关系，在本文中，我们在矩阵模型的双标度极限下计算所有属展开阶的相关函数。受超对称性保护的算子的单点函数终止于某个有限阶，而未受保护的算子的单点函数则产生非 Borel 可求级数。后者的行为是弦扰动级数的特征，为矩阵模型描述弦理论提供了进一步的证据。此外，还计算了平面单点函数的瞬时校正，并发现了非超对称算子的通用对数缩放行为。
In the previous paper, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond–Ramond background from the viewpoint of symmetry and spectrum. This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory. In order to investigate the correspondence further, in this paper we compute correlation functions to all order of genus expansion in the double scaling limit of the matrix model. One-point functions of operators protected by supersymmetry terminate at some finite order, whereas those of unprotected operators yield non-Borel summable series. The behavior of the latter is characteristic in string perturbation series, providing further evidence that the matrix model describes a string theory. Moreover, instanton corrections to the planar one-point functions are also computed, and universal logarithmic scaling behavior is found for non-supersymmetric operators.