多物种非均匀 $t$-PushTASEP 从反称融合
Multispecies inhomogeneous $t$-PushTASEP from antisymmetric fusion
AI总结：
该研究通过建立Baxter型公式，揭示了非均匀 $t$-PushTASEP 与 ASEP 之间的本征态和可积结构联系，展示了包含-排除原理在粒子转移中的作用。
摘要：
我们研究了最近引入的非均匀 $n$-物种 $t$-PushTASEP，这是一种在周期性晶格上进行的长程随机过程。建立了一种Baxter型公式，将马尔可夫矩阵表示为所有 $U_t(\widehat{sl}_{n+1})$ 基本表示的交替求和转移矩阵。这种叠加作用作为包含-排除原理，选择性地提取PushTASEP特征的连续粒子转移，同时消除禁止通道。均匀特例将PushTASEP与ASEP联系起来，显示两种模型共享本征态和共同的可积结构。
英文摘要：
We investigate the recently introduced inhomogeneous $n$-species $t$-PushTASEP, a long-range stochastic process on a periodic lattice. A Baxter-type formula is established, expressing the Markov matrix as an alternating sum of commuting transfer matrices over all the fundamental representations of $U_t(\widehat{sl}_{n+1})$. This superposition acts as an inclusion-exclusion principle, selectively extracting the sequential particle transitions characteristic of the PushTASEP, while canceling forbidden channels. The homogeneous specialization connects the PushTASEP to ASEP, showing that the two models share eigenstates and a common integrability structure.
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