Fermions on spontaneously generated spherical extra dimensions

Autor(en)

Harold Steinacker, George Zoupanos

Abstrakt

We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and behaves like Yang-Mills theory on M⁴ × S².

We find a truncated tower of fermionic Kaluza-Klein states transforming

under the low-energy gauge group, which is found to be either SU(n), or SU(n₁) × SU(n₂) × U(1). The latter case implies a nontrivial U(1) flux on S²,

leading to would-be zero modes for the bifundamental fermions. In the

non-chiral case they may pair up to acquire a mass, and the emerging

picture is that of mirror fermions. We discuss the possible

implementation of a chirality constraint in 6 dimensions, which is

nontrivial at the quantum level due to the fuzzy nature of the extra

dimensions.

 

Organisation(en)

Mathematische Physik

Externe Organisation(en)

National Technical University of Athens (NTUA)

Journal

Journal of High Energy Physics

Band

2007

Anzahl der Seiten

35

ISSN

1029-8479

DOI

https://doi.org/10.1088/1126-6708/2007/09/017

Publikationsdatum

2007

Peer-reviewed

Ja

ÖFOS 2012

1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/53c15a0d-97f9-4827-8989-41cb6457947d