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CP^n Model on Fuzzy Sphere

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Chuan-Tsung Chan, Chiang-Mei Chen, Feng-Li Lin, Hyun Seok Yang

High Energy Physics - Theory · Submitted 10 May 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0105087 (version 3)
Pith ID732KDR56, Pith's permanent record of this paper and its review
CitationChiang-Mei Chen, Chuan-Tsung Chan, Feng-Li Lin, Hyun Seok Yang. "CP^n Model on Fuzzy Sphere." arXiv:hep-th/0105087 (2001). https://pith.science/paper/732KDR56
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,584 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.65 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We construct the CP^n model on fuzzy sphere. The Bogomolny bound is saturated by (anti-)self-dual solitons and the general solutions of BPS equation are constructed. The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane. We show that in the soliton backgrounds, the number of zero modes of Dirac operator on fuzzy sphere, Atiyah-Singer index, is exactly given by the topological charge of the background solitons.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We construct the CP^n model on fuzzy sphere. contribution 1.00 0.96 0.09 asserted 1.00
s1 The Bogomolny bound is saturated by (anti-)self-dual solitons and the general solutions of BPS equation are constructed. result 0.77 0.91 0.21 asserted 1.00
s2 The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane. result 1.00 0.86 0.29 asserted 1.00
s3 We show that in the soliton backgrounds, the number of zero modes of Dirac operator on fuzzy sphere, Atiyah-Singer index, is exactly given by the topological charge of the background solitons. result 0.99 0.92 0.26 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • arXiv listing abstract v3
not examined
  • full text
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  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We construct the CP^n model on fuzzy sphere. The Bogomolny bound is saturated by (anti-)self-dual solitons and the general solutions of BPS equation are constructed. The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane. We show that in the soliton backgrounds, the number of zero modes of Dirac operator on fuzzy sphere, Atiyah-Singer index, is exactly given by the topological charge of the background solitons.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper
  • In recent times, the fuzzy sphere $S_F^2$ [ref] and a number of field theory models on $S_F^2$ are being studied extensively, both analytically as well as numerically [ref] .

    'Schwinger Model' on the Fuzzy Sphere · Introduction · 0.99

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