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Bulk effective theory in coupled wire construction from generalized Wilson line

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Yukihisa Imamura, Keisuke Totsuka

Strongly Correlated Electrons · Submitted 30 May 2016

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

The authors' main claim From these examination, it is possible to show that in this formulation the bulk theory is the U(1) Chern-Simons gauge theory and the edge theory is the chiral Luttinger theory.

how it is stated · asserted 0.81 read the record →

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arXiv ID1605.09235 (version 1)
Pith ID27QJZKBT, Pith's permanent record of this paper and its review
CitationKeisuke Totsuka, Yukihisa Imamura. "Bulk effective theory in coupled wire construction from generalized Wilson line." arXiv:1605.09235 (2016). https://pith.science/paper/27QJZKBT
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,686 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We reconsider the coupled wire construction, which is a useful method of obtaining two and three-dimensional topologically ordered states from an array of one-dimensional CFTs, and show that there is the hidden structure in the bulk of the constructed model. In order to uncover the structure hidden in the gapped bulk, we introduce a generalized Wilson line and show the necessity of introducing a new gauge field, which behaves like the Chern-Simons gauge field. From these examination, it is possible to show that in this formulation the bulk theory is the U(1) Chern-Simons gauge theory and the edge theory is the chiral Luttinger theory. We explicitly demonstrate our method for the Laughlin states and the chiral spin liquid state.

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 reconsider the coupled wire construction, which is a useful method of obtaining two and three-dimensional topologically ordered states from an array of one-dimensional CFTs, and show that there is the hidden structure in the bulk of the constructed model. background 0.47 0.80 0.14 asserted 1.00
s1 In order to uncover the structure hidden in the gapped bulk, we introduce a generalized Wilson line and show the necessity of introducing a new gauge field, which behaves like the Chern-Simons gauge field. method 0.62 0.93 0.10 asserted 1.00
s2 From these examination, it is possible to show that in this formulation the bulk theory is the U(1) Chern-Simons gauge theory and the edge theory is the chiral Luttinger theory. result 1.00 0.89 0.78 asserted 0.81
s3 We explicitly demonstrate our method for the Laughlin states and the chiral spin liquid state. contribution 0.78 0.93 0.08 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.71 · evidence from proof or derivation 1.00.

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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 reconsider the coupled wire construction, which is a useful method of obtaining two and three-dimensional topologically ordered states from an array of one-dimensional CFTs, and show that there is the hidden structure in the bulk of the constructed model. In order to uncover the structure hidden in the gapped bulk, we introduce a generalized Wilson line and show the necessity of introducing a new gauge field, which behaves like the Chern-Simons gauge field. From these examination, it is possible to show that in this formulation the bulk theory is the U(1) Chern-Simons gauge theory and the edge theory is the chiral Luttinger theory. We explicitly demonstrate our method for the Laughlin states and the chiral spin liquid state.

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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
  • We note that there have been several attempts to obtain the effective Chern-Simons theory from coupled wires from different perspectives [ref] .

    Quantum Hall hierarchy from coupled wires · Composite boson picture · 0.86

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