Lorentz Violating Supersymmetric Quantum Electrodynamics

Maxim Pospelov; Pavel A. Bolokhov; Stefan Groot Nibbelink

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Lorentz Violating Supersymmetric Quantum Electrodynamics

Pavel A. Bolokhov, Stefan Groot Nibbelink, Maxim Pospelov

High Energy Physics - Phenomenology · Submitted 5 May 2005

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

The authors' main claim Dimension five LV operators are constrained by the low-energy precision measurements at 10^{-10}-10^{-5} level in units of the inverse Planck scale, while the Planck-scale suppressed dimension six LV operators are allowed by observational data.

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arXiv IDhep-ph/0505029 (version 2)

Pith ID53RXLTU2, Pith's permanent record of this paper and its review

CitationMaxim Pospelov, Pavel A. Bolokhov, Stefan Groot Nibbelink. "Lorentz Violating Supersymmetric Quantum Electrodynamics." arXiv:hep-ph/0505029 (2005). https://pith.science/paper/53RXLTU2

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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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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to the Planck scale. Exact supersymmetry requires that such interactions correspond to LV operators of dimension five or higher, providing a solution to the naturalness problem in the LV sector. We classify all dimension five and six LV operators, analyze their properties at the quantum level and describe observational consequences of LV in this theory. We show that LV operators do not induce destabilizing D-terms, gauge anomaly and the Chern-Simons term for photons. We calculate the renormalization group evolution of dimension five LV operators and their mixing with dimension three LV operators, controlled by the scale of the soft-breaking masses. Dimension five LV operators are constrained by the low-energy precision measurements at 10^{-10}-10^{-5} level in units of the inverse Planck scale, while the Planck-scale suppressed dimension six LV operators are allowed by observational data.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to the Planck scale.	contribution 0.62	0.49	0.05	asserted 0.48
s1	Exact supersymmetry requires that such interactions correspond to LV operators of dimension five or higher, providing a solution to the naturalness problem in the LV sector.	interpretation 0.38	0.31	0.14	asserted 1.00
s2	We classify all dimension five and six LV operators, analyze their properties at the quantum level and describe observational consequences of LV in this theory.	contribution 0.99	0.95	0.09	asserted 0.93
s3	We show that LV operators do not induce destabilizing D-terms, gauge anomaly and the Chern-Simons term for photons.	result 0.99	0.94	0.19	asserted 1.00
s4	We calculate the renormalization group evolution of dimension five LV operators and their mixing with dimension three LV operators, controlled by the scale of the soft-breaking masses.	contribution 0.70	0.95	0.08	asserted 1.00
s5	Dimension five LV operators are constrained by the low-energy precision measurements at 10^{-10}-10^{-5} level in units of the inverse Planck scale, while the Planck-scale suppressed dimension six LV operators are allowed by observational data.	result 0.99	0.74	0.44	asserted 1.00

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

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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

Theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to the Planck scale. Exact supersymmetry requires that such interactions correspond to LV operators of dimension five or higher, providing a solution to the naturalness problem in the LV sector. We classify all dimension five and six LV operators, analyze their properties at the quantum level and describe observational consequences of LV in this theory. We show that LV operators do not induce destabilizing D-terms, gauge anomaly and the Chern-Simons term for photons. We calculate the renormalization group evolution of dimension five LV operators and their mixing with dimension three LV operators, controlled by the scale of the soft-breaking masses. Dimension five LV operators are constrained by the low-energy precision measurements at 10^{-10}-10^{-5} level in units of the inverse Planck scale, while the Planck-scale suppressed dimension six LV operators are allowed by observational data.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The Neutrino Kaleidoscope: Searches for Non-Standard Neutrino Oscillations at Neutrino Telescopes with a TeV Muon Accelerator Source
hep-ph 2025-08 conditional novelty 7.0 of 10

A TeV muon accelerator aimed at a cubic-kilometer neutrino telescope could probe sterile neutrinos and Lorentz violation orders of magnitude beyond current limits.
Interpreting OPERA results on superluminal neutrino
hep-ph 2011-09 accept novelty 6.0 of 10

Reconciling the OPERA superluminal neutrino claim with supernova and oscillation data demands a flavor-universal, steeply energy-dependent speed, and electroweak loops generically produce an electron Lorentz violation...
On Lorentz violation in Horava-Lifshitz type theories
hep-th 2010-10 conditional novelty 6.0 of 10

One-loop graviton corrections in Horava-Lifshitz gravity induce species-dependent speed-of-light differences; spin-2 and spin-0 modes are protected by the Lifshitz scale, but the spin-1 mode stays quadratically diverg...
Models of non-relativistic quantum gravity: the good, the bad and the healthy
hep-th 2010-07 accept novelty 6.0 of 10

Of three non-relativistic gravity models, only the non-projectable Horava extension has a stable, weakly coupled scalar mode, and its predicted preferred-frame PPN parameters satisfy existing solar-system limits.
Quantum Spacetime Phenomenology
gr-qc 2008-06 accept novelty 2.0 of 10

A comprehensive review argues that gamma-ray, cosmic-ray, and interferometric data analyses have reached genuine Planck-scale sensitivity to candidate quantum-spacetime effects, while acknowledging that most resulting...

Show 1 more citing papers

Modern tests of Lorentz invariance
gr-qc 2005-02 accept novelty 2.0 of 10

No experiment has found Lorentz violation, and the combined terrestrial and astrophysical bounds are tight enough to exclude a generic Planck-scale origin for the effect at mass dimension six or below.

How the literature uses it

24 arXiv papers cite this in 45 sentences

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 · 33 sentences without a confident label

Builds on it 1 paper

This extends the mechanism of [ref] to the supersymmetric aether sector.

Supersymmetric Aether · Introduction · 1.00

Cites it as support 4 papers

Furthermore, the renormalization group equations for Supersymmetric QED with dimension 5 LIV operators as discussed in section [ref] do not generate lower dimensional operators if SUSY is unbroken [ref] .

Tests of Lorentz invariance: a 2013 update · A custodial symmetry? · 0.96
Supersymmetry forbids renormalizable LV operators while allowing dimension five and six operators [ref] .

Have we tested Lorentz invariance enough? · Supersymmetry and CPT to the rescue? · 0.96
From aspects of observational limits, unfortunately, the dimension-5 operators seem unnatural, even with supersymmetry included and softly broken [ref] .

Lorentz violation effects on astrophysical propagation of very high energy photons · Some Selected Theoretical Models · 1.00

Cites it as background 4 papers

In Sec. [ref] we introduce the non-relativistic SUSY algebra and briefly review the arguments of [ref] .

Supersymmetric Aether · Introduction · 0.90
While several such mechanisms have been suggested (see e.g. [ref] ), it remains an open question whether they can ultimately be realized in HG [ref] .

Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity · Particle spectrum, dispersion relations and phenomenological constraints · 0.88
The classification of Lorentz-violating effective field theories that are exact representations of the SUSY algebra and the study of their quantum corrections have already been the subject of careful investigations in the literature [ref] .

On Lorentz-Violating Supersymmetric Quantum Field Theories · Introduction · 0.96

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