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cond-mat.stat-mech2026
Algebraic Tensor Network Renormalization and Holographic duality
Chenqi Meng, Tian Lan, Zhengcheng Gu
Emergent generalized symmetries and the holographic principle play very important roles in understanding quantum phase transitions. In recent years, tensor-network renormalization…
math-ph2026
Bulk-boundary correspondence of (1+1)D symmetric gapped phases
Yizhou Ma, Gen Yue, Tian Lan
We develop an operator-algebraic framework for boundary conditions and bulk-boundary correspondence in one-dimensional gapped phases with categorical symmetry. Working directly in…
cond-mat.str-el2026
Pro-Tensor Network
Gen Yue, Ansi Bai, Linqian Wu +1
We introduce the pro-tensor network, a categorification of the tensor network, as a fully rigorous yet graphically transparent framework for studying the collection of many many-bo…