From tunnels to towers: Quantum scars from Lie algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-deformed Lie algebras
Nicholas O'Dea, Fiona Burnell, Anushya Chandran, Vedika Khemani
Abstract
The authors present a framework for creating and understanding scar towers as shadows of broken non-Abelian symmetries and show examples of models hosting scar towers derived from higher-rank and $q$-deformed Lie algebras.
Topics & Concepts
Lie algebraPure mathematicsMathematicsHomogeneous spaceQuantumAdjoint representation of a Lie algebraAlgebra over a fieldLie conformal algebraRepresentation of a Lie groupAffine Lie algebraSimple Lie groupFundamental representationKilling formTheoretical physicsAdjoint representationLie groupSimple (philosophy)Non-associative algebraSpace (punctuation)Graded Lie algebraQuantum many-body systemsTopological Materials and PhenomenaAlgebraic structures and combinatorial models