Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions

arXiv:2608.08428 · hep-th, cond-mat.stat-mech, cond-mat.str-el, math-ph, math.MP · Submitted 2026-08-09 · Read on arXiv

hep-th, cond-mat.stat-mech, cond-mat.str-el, math-ph, math.MP

Submitted: 2026-08-09

Updated: 2026-09-20

Terminology

• Domain Walls — 14× in this paper · explained in 2 episodes
• Anyons — 9× in this paper · explained in 2 episodes
• Generalization — 9× in this paper · explained in 13 episodes
• Topological Order — 9× in this paper · explained in 2 episodes
• Phase Transitions — 7× in this paper · explained in 2 episodes
• Topological Defects — 5× in this paper · explained in 2 episodes
• Anyon Condensation — 3× in this paper · explained in 1 episode
• Bosonization — 3× in this paper · explained in 2 episodes
• First-Order Transition — 3× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• UV Neveu-Schwarz — 1× in this paper

Sources

• Unified approach to Quantum and Classical Dualities
• The Bond-Algebraic Approach to Dualities
• Holographic Symmetries and Generalized Order Parameters for Topological Matter
• Generalized Global Symmetries
• Generalized Symmetries in Condensed Matter
• Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
• Lectures on Generalized Symmetries
• Generalised twisted partition functions
• Boundary Conditions in Rational Conformal Field Theories
• Chiral structure of modular invariants for subfactors
• Two-dimensional topological order and operator algebras
• Models for gapped boundaries and domain walls
• Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy
• Generalized ADE Classification of Gapped Domain Walls
• Fermion Condensation and Gapped Domain Walls in Topological Orders
• On a categorical structure of the set of all CFTs
• Composing parafermions: a construction of $Z_{N}$ fractional quantum Hall systems and a modern understanding of confinement and duality
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Categorical Anomaly Matching
• Anyon condensation and tensor categories

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