W-representation for multi-character partition function
演讲者
时间
2024年04月02日 16:00 至 17:00
地点
A6-101
线上
Zoom 873 9209 0711
(BIMSA)
摘要
We discuss several results on work in collaboration (with V.Mishnyakov, A.Popolitov, F.Liu, R.Wang and with B. Kang, K.Wu, W.Z. Zhao). We construct W-representations for multi-character expansions, which involve a generic number of sets of time variables. We propose integral representations for such kind of partition functions which are given by tensor models and multi-matrix models with multi-trace couplings. In addition, we present the W-representation for a two-tensor model with order-3. We derive the compact expressions of correlators from the W-representation, and analyze the free energy in the large N limit. By establishing the correspondence between the two-color Dyck order in Fredkin spin chain and the tree operator on the ring, we prove that the entanglement scaling of Fredkin spin chain beyond the logarithmic scaling in ordinary critical systems.