Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model

Bunji Sakita; Dimitra Karabali

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Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model

Dimitra Karabali, Bunji Sakita

High Energy Physics - Theory · Submitted 20 Jul 2001

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The authors' main claim We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states.

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arXiv IDhep-th/0107168 (version 2)

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CitationBunji Sakita, Dimitra Karabali. "Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model." arXiv:hep-th/0107168 (2001). https://pith.science/paper/DHTHPLKW

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We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states. The connection to the spectrum of the Calogero model is discussed.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states.	contribution 0.94	0.95	0.50	asserted 1.00
s1	The connection to the spectrum of the Calogero model is discussed.	interpretation 0.47	0.61	0.11	asserted 0.79

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We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states. The connection to the spectrum of the Calogero model is discussed.

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4 arXiv papers cite this in 8 sentences

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To see the connection we begin, following [ref] , by working with a coherent state representation of all matrix model states.

The Quantum Hall Effect in Supersymmetric Chern-Simons Theories · Appendix: Overlap of Matrix Model States · 1.00
To make the connection with the Laughlin state more precise, one can study the wave function $ψ_0(Z) = Z | ψ_0$ obtained by taking the inner product of $|ψ_0$ with a coherent state $|Z$ for the operator $Ẑ$, as first explained by Karabali and Sakita [ref] .

Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model · Comparison to Blok-Wen States · 0.86

Cites it as background 2 papers

The $p=1$ matrix model was further studied in a number of papers, including [ref] and we will review some of its properties below.

A Matrix Model for Non-Abelian Quantum Hall States · The Quantum Hall Matrix Model · 0.94
Various properties of these matrix models have been explored in great detail over the years; see, for example, [ref] for a selection of papers.

ADHM and the 4d Quantum Hall Effect · Relationship to Quantum Hall Matrix Models · 1.00

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