Punctures and p-Spin Curves from Matrix Models
Punctures and p-Spin Curves from Matrix Models
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DOI：
10.1007/s10955-020-02581-5
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发表时间：
2020-06
影响因子：
1.6
通讯作者：
E. Brézin;S. Hikami
中科院分区：
文献类型：
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作者：
E. Brézin;S. Hikami
本文利用矩阵模型研究p-旋曲线模空间的交数。显式积分表示，这些交叉数的生成函数导出bitpStokes域，标记为“自旋”分量取值。早期的研究涉及整数值的p，但目前的形式主义允许我们的研究扩展到半整数或负值的p，这原来是描述新类型的穿孔或标记点的黎曼曲面。他们分为两类：Ramond，缺席的积极integerp，和Neveu-Schwarz。这两种类型的交集数计算从积分表示的then点相关函数在largeNscaling限制。我们还考虑了随机矩阵形式主义的超对称扩展，以表明它自然会导致一个额外的对数势。表面上的开放边界，或R和NS穿刺的混合物，可以通过此扩展处理。
This article investigates the intersection numbers of the moduli space ofp-spin curves with the help of matrix models. The explicit integral representations that are derived for the generating functions of these intersection numbers exhibitpStokes domains, labelled by a “spin”-componentltaking values. Earlier studies concerned integer values ofp, but the present formalism allows one to extend our study to half-integer or negative values ofp, which turn out to describe new types of punctures or marked points on the Riemann surface. They fall into two classes: Ramond, absent for positive integerp, and Neveu–Schwarz. The intersection numbers of both types are computed from the integral representation of then-point correlation functions in a largeNscaling limit. We also consider a supersymmetric extension of the random matrix formalism to show that it leads naturally to an additional logarithmic potential. Open boundaries on the surface, or admixtures of R and NS punctures, may be handled by this extension.