Classification of conformality models based on nonAbelian orbifolds

Frampton, Paul H.; Kephart, Thomas W.

doi:10.1103/PhysRevD.64.086007

Classification of conformality models based on nonAbelian orbifolds

Nov, 2000

121 pages

Published in:

Phys.Rev.D 64 (2001) 086007

e-Print:

hep-th/0011186 [hep-th]

DOI:

10.1103/PhysRevD.64.086007

Report number:

IFP-780-UNC,
VAND-TH-000-09

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Abstract:

A systematic analysis is presented of compactifications of the IIB superstring on

AdS_5 \times S^5/\Gamma

where

\Gamma

is a non-abelian discrete group. Every possible

\Gamma

with order

g \leq 31

is considered. There exist 45 such groups but a majority cannot yield chiral fermions due to a certain theorem that is proved. The lowest order to embrace the nonSUSY standard

SU(3) \times SU(2) \times U(1)

model with three chiral families is

\Gamma = D_4 \times Z_3

, with

g=24

; this is the only successful model found in the search. The consequent uniqueness of the successful model arises primarily from the scalar sector, prescribed by the construction, being sufficient to allow the correct symmetry breakdown.

string model
supersymmetry
dimension: 10
group theory: nonabelian
hierarchy
compactification
fermion: chiral
spontaneous symmetry breaking
space-time: anti-de Sitter
field theory: conformal

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