Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids

We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.

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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2008-02
Hauptverfasser:	Dong, Shiying, Fradkin, Eduardo, Leigh, Robert G, Nowling, Sean
Format:	Artikel
Sprache:	eng
Schlagworte:	Entropy Field theory (physics) Gauge theory Physics - High Energy Physics - Theory Physics - Mesoscale and Nanoscale Physics Quantum entanglement Quantum Hall effect Quantum theory Topology
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Beschreibung
Zusammenfassung:	We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.
ISSN:	2331-8422
DOI:	10.48550/arxiv.0802.3231