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Description of identical particles via gauged matrix models : a generalization of the Calogero-Sutherland system
High Energy Physics - Theory · Submitted 2 Mar 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The model gives a generalization of the Calogero-Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below.
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The abstract, sentence by sentence
We elaborate the idea that the matrix models equipped with the gauge symmetry provide a natural framework to describe identical particles. After demonstrating the general prescription, we study an exactly solvable harmonic oscillator type gauged matrix model. The model gives a generalization of the Calogero-Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We elaborate the idea that the matrix models equipped with the gauge symmetry provide a natural framework to describe identical particles. | contribution 0.58 | 0.49 | 0.33 | asserted 0.80 |
| s1 | After demonstrating the general prescription, we study an exactly solvable harmonic oscillator type gauged matrix model. | contribution 0.86 | 0.91 | 0.08 | asserted 0.98 |
| s2 | The model gives a generalization of the Calogero-Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below. | result 0.81 | 0.86 | 0.62 | asserted 1.00 |
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Original abstract
We elaborate the idea that the matrix models equipped with the gauge symmetry provide a natural framework to describe identical particles. After demonstrating the general prescription, we study an exactly solvable harmonic oscillator type gauged matrix model. The model gives a generalization of the Calogero-Sutherland system where the strength of the inverse square potential is not fixed but dynamical bounded by below.
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