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Long Strings and Symmetric Product Orbifold from the AdS$_3$ Bethe Equations
High Energy Physics - Theory · Submitted 6 Oct 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim I will show how continuous representations may arise from integrability, and that at lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose.
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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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The abstract, sentence by sentence
A particularly rich class of integrable systems arises from the AdS/CFT duality. There, the two-dimensional quantum field theory living on the string worldsheet may be understood in terms of a non-relativistic factorized S matrix, and the energy spectrum may be derived by techniques such as the mirror thermodynamic Bethe ansatz or the quantum spectral curve. In the case of AdS$_3$/CFT$_2$ without Ramond-Ramond fluxes, the worldhseet theory is a Wess-Zumino-Witten model with continous and discrete representations which, for the lowest allowed level, is dual to the symmetric product orbifold of a free theory. I will show how continuous representations may arise from integrability, and that at lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A particularly rich class of integrable systems arises from the AdS/CFT duality. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s1 | There, the two-dimensional quantum field theory living on the string worldsheet may be understood in terms of a non-relativistic factorized S matrix, and the energy spectrum may be derived by techniques such as the mirror thermodynamic Bethe ansatz or the quantum spectral curve. | background 0.99 | 0.05 | 0.03 | hedged possibility 0.99 |
| s2 | In the case of AdS$_3$/CFT$_2$ without Ramond-Ramond fluxes, the worldhseet theory is a Wess-Zumino-Witten model with continous and discrete representations which, for the lowest allowed level, is dual to the symmetric product orbifold of a free theory. | background 1.00 | 0.06 | 0.07 | asserted 1.00 |
| s3 | I will show how continuous representations may arise from integrability, and that at lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose. | contribution 0.79 | 0.92 | 0.90 | asserted 1.00 |
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The paper
Original abstract
A particularly rich class of integrable systems arises from the AdS/CFT duality. There, the two-dimensional quantum field theory living on the string worldsheet may be understood in terms of a non-relativistic factorized S matrix, and the energy spectrum may be derived by techniques such as the mirror thermodynamic Bethe ansatz or the quantum spectral curve. In the case of AdS$_3$/CFT$_2$ without Ramond-Ramond fluxes, the worldhseet theory is a Wess-Zumino-Witten model with continous and discrete representations which, for the lowest allowed level, is dual to the symmetric product orbifold of a free theory. I will show how continuous representations may arise from integrability, and that at lowest level the Bethe equations yield the symmetric product orbifold partition function on the nose.
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How the literature uses it
8 arXiv papers cite this in 11 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 2 papers
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Other recent approaches toward the realization of this duality have been explored in [ref] .
Higher genus correlators for tensionless $\rm{AdS}_3$ strings · Introduction · 0.99
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Since then the subject has an interesting development, see e.g. recent works [ref] .
Deforming integrable models of AdS$_3$ strings · Introduction · 0.97
What it cites · 65 sentences without a confident label
Compares with 2 papers
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For $k≥2$, Eq. [ref] predicts a continuum but no gap from the BPS bound, unlike the CFT result [ref] .
Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum · Introduction · 0.93
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For $k≥2$, Eq. [ref] predicts a continuum but no gap from the BPS bound, unlike the CFT result [ref] .
String theory on $\boldsymbol{\text{AdS}_{\mathbf{3}}}$ and the symmetric orbifold of Liouville theory · Introduction · 0.93
Cites as background 21 papers
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States may come from discrete-series representations (possibly, spectrally flowed) or in spectrally-flowed continuous representations [ref] .
Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum · Introduction · 0.85
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I begin by summarising the main features of the integrable structure arising from the worldsheet theory in uniform light-cone gauge [ref] for $_3×^3×^4$ strings, see also [ref] .
Finite-size Effects from Giant Magnons · Introduction · 0.99
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I begin by summarising the main features of the integrable structure arising from the worldsheet theory in uniform light-cone gauge [ref] for $_3×^3×^4$ strings, see also [ref] .
Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector · Introduction · 0.99
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