Anomalies in orbifold field theories

Details Anomalies in orbifold field theories Anomalies in orbifold field theories

2001-10-08

arxiv.org/abs/hep-th/0110073v2

Phys.Lett. B525 (2002) 169-174

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures, LaTex; v2: final version to be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)01430-7

We study the constraints on models with extra dimensions arising from local anomaly cancellation. We consider a five-dimensional field theory with a U(1) gauge field and a charged fermion, compactified on the orbifold S^1/(Z_2 x Z_2'). We show that, even if the orbifold projections remove both fermionic zero modes, there are gauge anomalies localized at the fixed points. Anomalies naively cancel after integration over the fifth dimension, but gauge invariance is broken, spoiling the consistency of the theory. We discuss the implications for realistic supersymmetric models with a single Higgs hypermultiplet in the bulk, and possible cancellation mechanisms in non-minimal models.

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