High Energy Physics - Theory · arXiv:1001.1598 v3 · submitted 11 Jan 2010
Enhanced Supersymmetry of Nonrelativistic ABJM Theory
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“Combining with the original 8 kinematical supercharges, the total number of supercharges becomes maximal: 14 supercharges, like in the well-known PPPP limit.”
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Abstract
We study the supersymmetry enhancement of nonrelativistic limits of the ABJM theory for Chern-Simons level k = 1,2. The special attention is paid to the nonrelativistic limit (known as `PAAP' case) containing both particles and antiparticles. Using supersymmetry transformations generated by the monopole operators, we find additional 2 kinematical, 2 dynamical, and 2 conformal supercharges for this case. Combining with the original 8 kinematical supercharges, the total number of supercharges becomes maximal: 14 supercharges, like in the well-known PPPP limit. We obtain the corresponding super Schrödinger algebra which appears to be isomorphic to the one of the PPPP case. We also discuss the role of monopole operators in supersymmetry enhancement and partial breaking of supersymmetry in nonrelativistic limit of the ABJM 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 0.08 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.90 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We study the supersymmetry enhancement of nonrelativistic limits of the ABJM theory for Chern-Simons level $k=1,2$. | contribution 0.97 | 0.90 | 0.07 | asserted 0.67 |
| The special attention is paid to the nonrelativistic limit (known as `PAAP' case) containing both particles and antiparticles. | contribution 0.71 | 0.52 | 0.03 | asserted 0.97 |
| Using supersymmetry transformations generated by the monopole operators, we find additional 2 kinematical, 2 dynamical, and 2 conformal supercharges for this case. | result 0.97 | 0.97 | 0.33 | asserted 1.00 |
| Combining with the original 8 kinematical supercharges, the total number of supercharges becomes maximal: 14 supercharges, like in the well-known PPPP limit. | result 0.99 | 0.89 | 0.56 | asserted 1.00 |
| We obtain the corresponding super Schr\"odinger algebra which appears to be isomorphic to the one of the PPPP case. | result 0.97 | 0.91 | 0.25 | asserted 0.77 |
| We also discuss the role of monopole operators in supersymmetry enhancement and partial breaking of supersymmetry in nonrelativistic limit of the ABJM theory. | contribution 0.92 | 0.86 | 0.08 | asserted 0.57 |
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, 5,025 input tokens, $0.0002 reported.
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Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Supersymmetric vacua of mass-deformed M2-brane theory hep-th · Jan 2010
How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 2 papers
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See also [ref] .
Supersymmetric vacua of mass-deformed M2-brane theory · Introduction and discussions · 0.85
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For the other related aspects of non-relativistic supersymmetric Chern-Simons theories, see Refs. [ref] .
Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory · Introduction · 1.00
What it cites · 49 sentences without a confident label
Uses the method or tool of 2 papers
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In the case of fermions we have to eliminate the heavy modes using their equations of motion [ref] .
Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra · Nonrelativistic limit(s) · 0.97
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In the case of fermions we have to eliminate the heavy modes using their equations of motion [ref] .
Nonrelativistic Superconformal M2-Brane Theory · Nonrelativistic limit(s) · 0.97
Compares with 2 papers
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This is in contrast to the case of PPPP limit containing only particles [ref] .
Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra · Conclusion · 0.96
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This is in contrast to the case of PPPP limit containing only particles [ref] .
Nonrelativistic Superconformal M2-Brane Theory · Conclusion · 0.96
Cites as support 2 papers
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Indeed, using monopole operators, it was proved that the ABJM theory has additional $N=2$ supersymmetry for $k=1,2$ [ref] .
Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2) · Introduction · 0.96
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Indeed, using monopole operators, it was proved that the ABJM theory has additional $N=2$ supersymmetry for $k=1,2$ [ref] .
Notes on Supersymmetry Enhancement of ABJM Theory · Introduction · 0.96
Cites as background 43 papers
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The super Schrödinger algebra [ref] consists of bosonic Schrödinger algebra ([ref]), kinematical superalgebra ([ref]), and the dynamical superalgebra ([ref]),([ref]),([ref]).
On Schr\"odinger superalgebras · Dynamical superalgebra · 0.88
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The super Schrödinger algebra [ref] consists of bosonic Schrödinger algebra ([ref]), kinematical superalgebra ([ref]), and the dynamical superalgebra ([ref]),([ref]),([ref]).
Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems · Dynamical superalgebra · 0.88
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The super Schrödinger algebra [ref] consists of bosonic Schrödinger algebra ([ref]), kinematical superalgebra ([ref]), and the dynamical superalgebra ([ref]),([ref]),([ref]).
Super Schrodinger algebra in AdS/CFT · Dynamical superalgebra · 0.88
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