Maximal Total Quantum Dimension at Bounded Rank in Dijkgraaf-Witten Theories

arXiv:2609.26914 · hep-th, cond-mat.str-el, math.QA · Submitted 2026-09-22 · Read on arXiv

hep-th, cond-mat.str-el, math.QA

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Entanglement — 30× in this paper · explained in 4 episodes
• Holonomy — 15× in this paper · explained in 2 episodes
• Entanglement Entropy — 13× in this paper · explained in 2 episodes
• Anyons — 11× in this paper · explained in 2 episodes
• Topological Order — 11× in this paper · explained in 2 episodes
• Degeneracy — 10× in this paper · explained in 3 episodes
• Alternation — 6× in this paper · explained in 1 episode
• Anyon Condensation — 6× in this paper · explained in 1 episode
• Trace — 5× in this paper · explained in 2 episodes
• Verification — 5× in this paper · explained in 2 episodes
• Modularity — 3× in this paper · explained in 9 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Beijing Institute of Mathematical Sciences and Applications — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Physical Constraints — 1× in this paper · explained in 7 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes

Sources

• Non-Abelian Anyons and Topological Quantum Computation
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• A theory of 2+1D bosonic topological orders
• On classification of extremal non-holomorphic conformal field theories
• On classification of modular tensor categories
• Modular categories are not determined by their modular data
• Rank-finiteness for modular categories
• Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
• Quasi-particle Statistics and Braiding from Ground State Entanglement
• Asymptotics of commuting $\ell$-tuples in symmetric groups and log-concavity
• Twisted Quantum Double Model of Topological Phases in Two--Dimension
• Singular lines of trilinear forms
• Some noteworthy alternating trilinear forms
• Generalized orbifold Euler characteristics for general orbifolds and wreath products
• On Quantum Entanglement in Topological Phases on a Torus
• Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
• Topological entanglement entropy for torus knot bipartitions and the Verlinde-like formulas
• Revisiting Entanglement Entropy of Lattice Gauge Theories
• Twisted Quantum Double Model of Topological Orders with Boundaries
• Boundary Hamiltonian theory for gapped topological phases on an open surface

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