High Energy Physics - Theory · arXiv:hep-th/0203039 v2 · submitted 5 Mar 2002
Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories
The paper says
“Preservation of gauge invariance at the quantum level is possible, although at the price, in general, of introducing operators that break the 5d local parity.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We study the consistency of orbifold field theories and clarify to what extent the condition of having an anomaly-free spectrum of zero-modes is sufficient to guarantee it. Preservation of gauge invariance at the quantum level is possible, although at the price, in general, of introducing operators that break the 5d local parity. These operators are, however, perfectly consistent with the orbifold projection. We also clarify the relation between localized Fayet-Iliopoulos (FI) terms and anomalies. These terms can be consistently added, breaking neither local supersymmetry nor the gauge symmetry. In the framework of supergravity the localized FI term arises as the boundary completion of a bulk interaction term: given the bulk Lagrangian the FI is fixed by gauge invariance.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: hedged possibility 0.93
What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.16 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We study the consistency of orbifold field theories and clarify to what extent the condition of having an anomaly-free spectrum of zero-modes is sufficient to guarantee it. | contribution 0.94 | 0.92 | 0.19 | unclear 0.53 |
| Preservation of gauge invariance at the quantum level is possible, although at the price, in general, of introducing operators that break the 5d local parity. | result 0.99 | 0.74 | 0.26 | hedged possibility 0.93 |
| These operators are, however, perfectly consistent with the orbifold projection. | result 0.80 | 0.68 | 0.11 | asserted 0.95 |
| We also clarify the relation between localized Fayet-Iliopoulos (FI) terms and anomalies. | contribution 0.97 | 0.84 | 0.09 | asserted 0.89 |
| These terms can be consistently added, breaking neither local supersymmetry nor the gauge symmetry. | result 0.98 | 0.70 | 0.17 | asserted 0.84 |
| In the framework of supergravity the localized FI term arises as the boundary completion of a bulk interaction term: given the bulk Lagrangian the FI is fixed by gauge invariance. | result 0.73 | 0.54 | 0.16 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87
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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,875 input tokens, $0.0002 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
Cited by 6 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Are there minimal exceptional aGUTs from stable 5D orbifolds? hep-ph · Jan 2025
- Folded Supersymmetry and the LEP Paradox hep-ph · Sep 2006
- Fayet-Iliopoulos Terms in Supergravity and Cosmology hep-th · Feb 2004
- Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization hep-th · Mar 2020
- Electroweak symmetry breaking and fermion masses from extra dimensions hep-ph · Apr 2003
- Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson hep-ph · May 2010
How the literature uses it
12 arXiv papers cite this in 18 sentences
Papers citing it · 16 sentences without a confident label
Cites it as background 2 papers
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Anomaly of $U(1)$ gauge theory compactified on $S^1/Z_2$ is discussed in [ref] .
Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D · Supersymmetric $U(1)$ on $S^1/Z_2$ · 0.90
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For completeness, we also mention that there have been many works with regard to anomalies in orbifold field theories, see for example [ref] .
Anomaly Inflow and Holography · Introduction · 1.00
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