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Dihedral flavor symmetry from dimensional deconstruction

Jisuke Kubo
(
- Kanazawa U., Inst. Theor. Phys.
)

Jun, 2005

10 pages

Published in:

Phys.Lett.B 622 (2005) 303-310

e-Print:

hep-ph/0506043 [hep-ph]

DOI:

10.1016/j.physletb.2005.07.017

Report number:

KANAZAWA-05-07

View in:

ADS Abstract Service

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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.

Note:

To my late father

14.60.Pq
11.30.Hv
11.25.Mj
02.20.Df
12.15.Ff
symmetry: flavor
deconstruction: dimensional
group theory: representation
dimension: 5
orbifold: boundary condition

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