Towards a chiral gauge theory by deconstruction in AdS5

Details Towards a chiral gauge theory by deconstruction in AdS5 Towards a chiral gauge theory by deconstruction in AdS5

2005-10-12

arxiv.org/abs/hep-lat/0510073v1

PoS LAT2005:136,2006

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 3 figures, presented at Lattice2005(Chiral fermions), Dublin, July 25-30, 2005, to appear in Proceedings of Science

Scientific paper

We describe an implementation of a deconstructed gauge theory with charged fermions defined on an interval in five dimensional AdS space. The four dimensional slices are Minkowski, and the end slices support four dimensional chiral zero modes. In such a theory, the energy scales warp down as we move along the fifth dimension. If we augment this theory with localized neutral 4-dimensional Majorana fermions on the low energy end, and implement a Higgs mechanism there, we can arrange the theory such that the lightest gauge boson mode and the chiral mode on the wall at the high energy end are parametrically lighter than all the other states in the theory. If this semiclassical construction does not run into problems at the quantum level, this may provide an explicit construction of a chiral gauge theory. Instanton effects are expected to make the gauge boson heavy only if the resulting effective theory is anomalous.

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