156 citations · 1.3k across the 31 of their papers we have counts for
31 papers
Quantum Current and Holographic Categorical Symmetry
Tian Lan, Jing-Ren Zhou
We establish the formulation for quantum current. Given a symmetry group , let be its representation category. Physically, symmetry charges are obj…
Constructing the LG/CY isomorphism between geometries
Huijun Fan, Tian Lan, Zongrui Yang
For a nondegenerate homogeneous polynomial with degree , we can obtain a structure from the Landau-Ginzburg model $(\C^{n+2}, f)$…
A lattice realization of general three-dimensional topological order
Wenjie Xi, Ya-Lei Lu, Tian Lan +1
Topological orders are a class of phases of matter that beyond the Landau symmetry breaking paradigm. The two (spatial) dimensional (2d) topological orders have been thoroughly stu…
LG/CY correspondence between geometries
Huijun Fan, Tian Lan, Zongrui Yang
The concept of geometric structure was introduced by physicists (see \cite{CV1, BCOV} and references therein) , and then studied firstly in mathematics by C. Hertling \cite{…
Sobolev Orthogonal Polynomials on the Sierpinski Gasket
Qingxuan Jiang, Tian Lan, Kasso Okoudjou +4
We develop a theory of Sobolev orthogonal polynomials on the Sierpiński gasket (). These orthogonal polynomials arise through the Gram-Schmidt orthogonalisation process applied…
Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in…