High Energy Physics - Phenomenology · arXiv:hep-ph/0506043 v1 · submitted 6 Jun 2005
Dihedral Flavor Symmetry from Dimensional Deconstruction
The paper says
“It is found that although the orbifold boundary conditions break the dihedral invariance explicitly, the Q_2N symmetry appears as an intact internal, global flavor symmetry at low energies.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
Extra dimension deconstructed on a closed chain has naturally the symmetry of a regular polygon, the dihedral symmetry D_N. We assume that the fields are irreducible representations of the binary dihedral group Q_2N, which is the covering group of D_N. It is found that although the orbifold boundary conditions break the dihedral invariance explicitly, the Q_2N symmetry appears as an intact internal, global flavor symmetry at low energies. A concrete predictive model based on Q_6N$ with an odd N is given.
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. No sentence in this record was written by a model.
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 0.03 · states limitation 0.37 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.08 · mentions code or data availability 0.02
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 |
|---|---|---|---|---|
| Extra dimension deconstructed on a closed chain has naturally the symmetry of a regular polygon, the dihedral symmetry D_N. | background 0.94 | 0.24 | 0.11 | asserted 1.00 |
| We assume that the fields are irreducible representations of the binary dihedral group Q_2N, which is the covering group of D_N. | method 0.87 | 0.41 | 0.06 | asserted 0.91 |
| It is found that although the orbifold boundary conditions break the dihedral invariance explicitly, the Q_2N symmetry appears as an intact internal, global flavor symmetry at low energies. | result 1.00 | 0.91 | 0.73 | asserted 1.00 |
| A concrete predictive model based on Q_6N$ with an odd N is given. | contribution 0.96 | 0.88 | 0.10 | asserted 0.99 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- 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, 3,583 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 2 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Neutrino Mass Matrix from S_4 Symmetry hep-ph · Aug 2005
- Flavour physics of leptons and dipole moments hep-ph · Jan 2008
How the literature uses it
4 arXiv papers cite this in 10 sentences
Papers citing it · 7 sentences without a confident label
Compares with it 1 paper
-
Because of the one + two structure the Higgs sector is much simpler than that of [ref] , and therefore the sector can be investigated with much less assumptions.
Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry · Introduction · 0.86
Cites it as background 2 papers
-
We have considered a supersymmetric extension of the SM based on the discrete $Q_6$ family symmetry, which has been recently proposed in Refs. [ref] .
Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry · Conclusion · 0.86
-
Other recent applications of non-Abelian discrete flavor symmetries include those of $D_4$ [ref] , $Q_4$ [ref] , $D_5$ [ref] , $D_6$ [ref] , $Q_6$ [ref] , $D_7$ [ref] , $S_4$ [ref] , $Δ(27)$ [ref] , $Δ(75)$ [ref] , $Σ(81)$ [ref] , and $B_3 ×Z_2^3$ [ref] which has 384 elements.
Non-Abelian Discrete Flavor Symmetries · Others · 0.92
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment