High Energy Physics - Theory · arXiv:hep-th/0103135 v1 · submitted 16 Mar 2001
Anomalies on Orbifolds
The paper says
“Therefore long distance four dimensional anomaly cancellation ensures the consistency of the higher dimensional orbifold theory.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We discuss the form of the chiral anomaly on an S1/Z2 orbifold with chiral boundary conditions. We find that the 4-divergence of the higher-dimensional current evaluated at a given point in the extra dimension is proportional to the probability of finding the chiral zero mode there. Nevertheless the anomaly, appropriately defined as the five dimensional divergence of the current, lives entirely on the orbifold fixed planes and is independent of the shape of the zero mode. Therefore long distance four dimensional anomaly cancellation ensures the consistency of the higher dimensional orbifold theory.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.06 · mentions code or data availability 0.01
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 discuss the form of the chiral anomaly on an S1/Z2 orbifold with chiral boundary conditions. | contribution 0.81 | 0.64 | 0.04 | unclear 0.68 |
| We find that the 4-divergence of the higher-dimensional current evaluated at a given point in the extra dimension is proportional to the probability of finding the chiral zero mode there. | result 1.00 | 0.94 | 0.12 | asserted 1.00 |
| Nevertheless the anomaly, appropriately defined as the five dimensional divergence of the current, lives entirely on the orbifold fixed planes and is independent of the shape of the zero mode. | result 0.99 | 0.85 | 0.42 | asserted 1.00 |
| Therefore long distance four dimensional anomaly cancellation ensures the consistency of the higher dimensional orbifold theory. | interpretation 0.99 | 0.63 | 0.75 | asserted 0.99 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98
What was examined, and what was not
Sources read
- arXiv listing abstract v1
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- full text
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- 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, 3,568 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
Cited by 11 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Deconstructing the Extra-Dimensional Axion hep-ph · Jun 2026
- The Orbifold Higgs hep-ph · Nov 2014
- KK Parity in Warped Extra Dimension hep-ph · Dec 2007
- Natural Neutrino Masses and Mixings from Warped Geometry hep-ph · May 2008
- Branes and Orbifolds are Opaque hep-ph · Jul 2002
- Casimir Energy and Radius Stabilization in Five and Six Dimensional Orbifolds hep-ph · May 2001
- Electroweak symmetry breaking and fermion masses from extra dimensions hep-ph · Apr 2003
- Anomalies at the End of the Universe? hep-ph · Sep 2026
- $Z'$ Mediated WIMPs: Dead, Dying, or Soon to be Detected? hep-ph · Jul 2019
- Searching for MeV-Scale Gauge Bosons with IceCube hep-ph · Jul 2015
- Z' Mediated Dark Matter Models for the Galactic Center Gamma-Ray Excess hep-ph · Nov 2014
How the literature uses it
26 arXiv papers cite this in 40 sentences
Papers citing it · 33 sentences without a confident label
Uses its method or tool 1 paper
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In particular, using the known form of the 5D anomaly [ref] , we derive the axion-gluon/photon couplings.
Flavoured Warped Axion · Introduction · 0.88
Cites it as background 6 papers
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In these models, anomaly cancellation occurs non-locally in an extra dimension [ref] , or, as happens in the chiral Lagrangian, non-locally in theory space [ref] .
Odd Decays from Even Anomalies: Gauge Mediation Signatures Without SUSY · Introduction · 0.81
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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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Discussion of such anomalies in orbifold theories can be found in [ref] .
Five-dimensional vector-coupled supergravity on a manifold with boundary · Anomalies · 0.96
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