Punctures and p-Spin Curves from Matrix Models II

Punctures and p-Spin Curves from Matrix Models II
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DOI:
10.1007/s10955-021-02776-4
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发表时间:
2021-05
影响因子:
1.6
通讯作者:
S. Hikami;E. Brézin
S. Hikami;E. Brézin
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
S. Hikami;E. Brézin

文献摘要

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我们在这里报告了以前工作的扩展,在该工作中我们已经证明了矩阵模型提供了计算p-自旋曲线的交数的工具。我们进一步讨论了半整数的一个推广,并对和作了更详细的讨论。在这些新的案例中,人们会发现来自Ramond部门的贡献,这是不存在于正整数的。对于半整数自旋,也考虑了Virasoro约束的存在性,特别是弦方程。通过对数矩阵模型研究了黎曼曲面边界的贡献。超对称随机矩阵是对混合正负穿孔的推广。
We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers ofp-spin curves. We discuss further an extension to half-integerp, and in more details forand. In those new cases one finds contributions from the Ramond sector, which were not present for positive integerp. The existence of Virasoro constraints, in particular a string equation, is considered also for half-integral spins. The contribution of the boundary of a Riemann surface, is investigated through a logarithmic matrix model. The supersymmetric random matrices provide extensions to mixed positive and negativeppunctures.