论文标题

flat $ gl(1 | 1)$ - 连接和胖子

Flat $GL(1|1)$-connections and fatgraphs

论文作者

Bourque, Andrea, Zeitlin, Anton M.

论文摘要

我们从图形连接的角度研究了平面$ gl(1 | 1)$ - 连接的模量空间。对于每个脂肪,分配了一个坐标系统,涉及每个边缘的两个骨气和两个费米子变量,但要遵守某些关系。在三价图的情况下,我们为Whitehead移动提供了一个封闭的显式公式。此外,我们讨论了不变的泊松支架。

We study the moduli space of flat $GL(1|1)$-connections on a punctured surface from the point of view of graph connections. To each fatgraph, a system of coordinates is assigned, which involves two bosonic and two fermionic variables per edge, subject to certain relations. In the case of trivalent graphs, we provide a closed explicit formula for the Whitehead moves. In addition, we discuss the invariant Poisson bracket.

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