High Energy Physics - Theory · arXiv:1203.0068 v1 · submitted 1 Mar 2012
Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory
The paper says
“We obtain an exact four-point scattering amplitude of the theory to all orders in 1/N and 1/k and prove that the scattering amplitude becomes trivial when k=1 and 2.”
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Abstract
We consider the non-relativistic superconformal U(N) X U(N) Chern-Simons theory with level (k,-k) possessing fourteen supersymmetries. We obtain an exact four-point scattering amplitude of the theory to all orders in 1/N and 1/k and prove that the scattering amplitude becomes trivial when k=1 and 2. We confirm this amplitude to one-loop order by using an explicit field theoretic computation and show that the beta function for the contact interaction vanishes to the one-loop order, which is consistent with the quantum conformal invariance of the underlying theory.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.73 · compares with prior results 0.47 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We consider the non-relativistic superconformal U(N) X U(N) Chern-Simons theory with level (k,-k) possessing fourteen supersymmetries. | background 0.77 | 0.32 | 0.03 | asserted 0.88 |
| We obtain an exact four-point scattering amplitude of the theory to all orders in 1/N and 1/k and prove that the scattering amplitude becomes trivial when k=1 and 2. | result 0.91 | 0.97 | 0.86 | asserted 1.00 |
| We confirm this amplitude to one-loop order by using an explicit field theoretic computation and show that the beta function for the contact interaction vanishes to the one-loop order, which is consistent with the quantum conformal invariance of the underlying theory. | result 0.65 | 0.95 | 0.11 | asserted 0.98 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,062 input tokens, $0.0001 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
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Reviewed papers on Pith that cite this one. The full citation record
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1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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[Non-relativistic versions of these theories describe interactions of anyonic particles, and have been studied in various guises over the last few decades, starting with the work of Aharonov and Bohm [ref] (see e.g. the book [ref] for a review and [ref] for more recent work).] These theories are non topological, have local degrees of freedom and are not generically solvable.
Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics · Introduction, analysis and conclusions · 1.00
What it cites · 17 sentences without a confident label
Uses the method or tool of 2 papers
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Adopting the previously developed method [ref] , we derive the two-body Schrödinger equation by which any $2→2$ scattering processes can be described.
Non-Abelian Chern-Simons Particles and their Quantization · Introduction · 0.99
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Following computation in Ref. [ref] , one may show that the gluon self-energy contribution vanishes identically to the one-loop order.
Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering · Perturbative amplitude and $β$-function · 0.81
Cites as background 8 papers
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The ABJM theory is the three dimensional $N=6$ $U(N)×U(N)$ superconformal Chern-Simons theory with level $(k,-k)$ and dual to the type IIA string theory on the $AdS_4×ℂℙ_3$ background [ref] .
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals · Introduction · 0.99
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The maximally supersymmetric non-relativistic Chern-Simons system is described by [ref]
Nonrelativistic Superconformal M2-Brane Theory · Non-relativistic Chern-Simons theory · 0.92
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The maximally supersymmetric non-relativistic Chern-Simons system is described by [ref]
Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra · Non-relativistic Chern-Simons theory · 0.92
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