q-Analogue of Modified KP Hierarchy and its Quasi-Classical Limit
q-Analogue of Modified KP Hierarchy and its Quasi-Classical Limit
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DOI：
10.1007/s11005-005-6782-5
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发表时间：
2004-12
影响因子：
1.2
通讯作者：
K. Takasaki
中科院分区：
文献类型：
--
作者：
K. Takasaki
修改后的 KP 层次结构的 tau 函数的 Aq 类似物是通过自变量的变化来定义的。该 tau 函数满足双线性 q 差分方程组。这些双线性方程被翻译成波函数的语言，结果满足线性 q 差分方程组。这些线性q-差分方程用于制定Lax形式和准经典极限的描述。这些结果可以推广到 Toda 层次结构的 aq 类似物。 Toda 层次结构的 q 模拟结果可能适用于规范理论和拓扑弦中的随机分区演算。
Aq-analogue of the tau function of the modified KP hierarchy is defined by a change of independent variables. This tau function satisfies a system of bilinearq-difference equations. These bilinear equations are translated to the language of wave functions, which turn out to satisfy a system of linearq-difference equations. These linearq-difference equations are used to formulate the Lax formalism and the description of quasi-classical limit. These results can be generalized to aq-analogue of the Toda hierarchy. The results on theq-analogue of the Toda hierarchy might have an application to the random partition calculus in gauge theories and topological strings.