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CP-violating supersymmetry anomaly
High Energy Physics - Theory · Submitted 18 Mar 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases.
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The abstract, sentence by sentence
We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. This supersymmetry anomaly can be removed in the old minimal supergravity by adding suitable local counterterms, and it becomes a consistent theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. | result 0.95 | 0.89 | 0.73 | asserted 1.00 |
| s1 | This supersymmetry anomaly can be removed in the old minimal supergravity by adding suitable local counterterms, and it becomes a consistent theory. | result 0.78 | 0.74 | 0.42 | asserted 0.99 |
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The paper
Original abstract
We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. This supersymmetry anomaly can be removed in the old minimal supergravity by adding suitable local counterterms, and it becomes a consistent theory.
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How the literature uses it
4 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Cites it as support 1 paper
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Moreover, new independent results have appeared recently, in support of these alternative conclusions [ref] (see [ref] for the supersymmetric version).
CFT Correlators and CP-Violating Trace Anomalies · Motivations and methodology · 0.96
Cites it as background 1 paper
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Such terms induced by the gauge/flavor anomaly have been discussed long ago in [ref] , while analogous terms induced by the gravitational anomaly in two dimensions were first identified in [ref] , and locally supersymmetric contributions to gauge/favor or $R$-symmetry anomalies were discussed more recently in [ref] .
Anomalies and Supersymmetry · Supersymmetry and Bardeen-Zumino currents · 0.92
What it cites · 24 sentences without a confident label
Builds on 1 paper
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In this paper, we have studied a structure of the supersymmetry anomaly when the supersymmetric Weyl anomaly includes the CP-violating terms proposed in [ref] .
CP-violating super Weyl anomaly · Conclusion · 0.82
Compares with 6 papers
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By substituting this component expression into the superfield anomaly equation ([ref]), we obtain [equation] They are in agreement with [ref] .
CP-violating super Weyl anomaly · CP-violating supersymmetric Weyl anomaly · 0.93
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The supersymmetry variation also explains the difference of our supersymmetry anomaly (as well as supersymmetry recovering local counterterms) and those found in the literature [ref] .
Supersymmetry anomalies in new minimal supergravity · CP-violating flavor anomaly · 1.00
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The supersymmetry variation also explains the difference of our supersymmetry anomaly (as well as supersymmetry recovering local counterterms) and those found in the literature [ref] .
Consistency of supersymmetric 't Hooft anomalies · CP-violating flavor anomaly · 1.00
Cites as background 19 papers
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When $c$ is real, the Wess-Zumino consistency condition with the superconformal transformation has been thoroughly discussed in [ref] .
Supersymmetry anomalies in $\mathcal{N}=1$ conformal supergravity · Conclusion · 0.91
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Correlation functions and (anomalous) Ward-Takahashi identities have been revisited in perturbation theories [ref] .
Supersymmetry anomaly in the superconformal Wess-Zumino model · Introduction · 0.80
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Correlation functions and (anomalous) Ward-Takahashi identities have been revisited in perturbation theories [ref] .
Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization · Introduction · 0.80
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