Cluster Alphabets from Generalized Worldsheets: A Geometric Approach to Finite Types
High Energy Physics - Theory
2024-05-09 v1 Mathematical Physics
math.MP
Abstract
We provide a systematic derivation of cluster alphabets of finite types. The construction is based on a geometric realization of the generalized worldsheets by gluing and folding a pair of polygons. The cross ratios of the worldsheet z variables are evolved using the Y-system equations. By a new gauge choice, we obtain a simpler set of cluster alphabets than the known ones.
Cite
@article{arxiv.2405.04772,
title = {Cluster Alphabets from Generalized Worldsheets: A Geometric Approach to Finite Types},
author = {Peng Zhao and Yihong Wang},
journal= {arXiv preprint arXiv:2405.04772},
year = {2024}
}