Shift invariance of half space integrable models

Autor:	He, Jimmy
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematical Physics Mathematics - Combinatorics 82C23 (Primary) 60K35 82C22(Secondary)
Druh dokumentu:	Working Paper
Popis:	We formulate and establish symmetries of certain integrable half space models, analogous to recent results on symmetries for models in a full space. Our starting point is the colored stochastic six vertex model in a half space, from which we obtain results on the asymmetric simple exclusion process, as well as for the beta polymer through a fusion procedure which may be of independent interest. As an application, we establish a distributional identity between the absorption time in a type $B$ analogue of the oriented swap process and last passage times in a half space, establishing the Baik--Ben Arous--P\'ech\'e phase transition for the absorption time. The proof uses Hecke algebras and integrability of the six vertex model through the Yang--Baxter and reflection equations. Comment: 64 pages, 15 figures. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.13029 Zobrazit plný text záznamu View this record from Arxiv