14 citations · 42 across the 10 of their papers we have counts for
11 papers
Finiteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfaces
Sheng Tan
We prove that, on any compact Riemann surface, there are only finitely many meromorphic projective connections with prescribed singular points and real exponent differences whose p…
Derived Reconstruction of Semisimple Tensor and Module Categories
Sheng Tan
We study bounded derived categories of semisimple tensor categories and their semisimple module categories. These categories may have infinitely many simple isomorphism classes. We…
The Multivariable Strong Monodromy Conjecture for Plane Curves
Sheng Tan
We prove the multivariable Strong Monodromy Conjecture for the local topological zeta function of arbitrary tuples of nonzero nonunit plane curve germs. The entries may be nonreduc…
Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order
Zhian Jia, Sheng Tan
The tube algebra, which carries the structure of a weak Hopf algebra, is a fundamental tool for characterizing topological excitations in topological phases. In this work, we…
Topological quantum color code model on infinite lattice
Shiyu Cao, Zhian Jia, Sheng Tan
The color code model is a crucial instance of a Calderbank-Shor-Steane (CSS)-type topological quantum error-correcting code, which notably supports transversal implementation of th…
Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs
Zhian Jia, Sheng Tan
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras. We begin by analyzing…
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into its associated weak Hopf symmetry. For the multifusion string-net,…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…
Boundary and domain wall theories of 2d generalized quantum double model
Zhian Jia, Dagomir Kaszlikowski, Sheng Tan
The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are in…
Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems
Lu Wei, Zhian Jia, Dagomir Kaszlikowski +1
We present a systematic investigation of antilinear superoperators and their applications in studying open quantum systems, particularly focusing on quantum geometric invariance, e…
Electric-magnetic duality and symmetry enriched Abelian lattice gauge theory
Zhian Jia, Dagomir Kaszlikowski, Sheng Tan
Kitaev's quantum double model is a lattice gauge theoretic realization of Dijkgraaf-Witten topological quantum field theory (TQFT), its topologically protected ground state space h…