Author:
Kang Bei,Wang Lu-Yao,Wu Ke,Zhao Wei-Zhong
Abstract
AbstractWe construct a two-tensor model with order-3 and present its W-representation. Moreover we derive the compact expressions of correlators from the W-representation and analyze the free energy in large N limit. In addition, we establish the correspondence between two colored Dyck walks in the Fredkin spin chain and tree operators in the ring. Based on the classification Dyck walks, we give the number of tree operators with the given level. Furthermore, we show the entanglement scaling of Fredkin spin chain beyond logarithmic scaling in the ordinary critical systems from the viewpoint of tensor model.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Reference41 articles.
1. P. Di Francesco, P. Ginsparg, J. Zinn-Justin, 2D gravity and random matrices. Phys. Rep. 254, 133 (1995)
2. J. Ambjørn, B. Durhuus, T. Jonsson, Three-dimensional simplicial quantum gravity and generalized matrix models. Mod. Phys. Lett. A 6, 1133 (1991)
3. M. Gross, Tensor models and simplicial quantum gravity in $$>2-D$$. Nucl. Phys. Proc. Suppl. 25 A, 144 (1992)
4. N. Sasakura, Tensor model for gravity and orientability of manifold. Mod. Phys. Lett. A 6, 2613 (1991)
5. R. Gurau, The $$1/N$$ expansion of colored tensor models. Ann. Henri Poincaré 12, 829 (2011). arXiv:1011.2726 [gr-qc]
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献