具有周期边界的KPZ的Riemann曲面
Riemann surfaces for KPZ with periodic boundaries
摘要：
研究了具有无限维超立方体拓扑的半整数指标多项式的Riemann曲面与有限体积中一维KPZ普适性的关系。已知的精确结果波动的KPZ的高度与周期性的边界表示在亚纯函数在这个黎曼表面上，总结了所有的表覆盖映射到一个无限的圆柱。连接到固定的大偏差，粒子-空穴激发和KdV孤子进行了讨论。
英文摘要：
The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in relation to one-dimensional KPZ universality in finite volume. Known exact results for fluctuations of the KPZ height with periodic boundaries are expressed in terms of meromorphic functions on this Riemann surface, summed over all the sheets of a covering map to an infinite cylinder. Connections to stationary large deviations, particle-hole excitations and KdV solitons are discussed.
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