Warped Domain Wall Fermions

Abstract

We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra dimension, the spectrum contains a very light charged fermion whose chiral components are localized at the ends of the extra dimensional interval. The component on the IR boundary of the AdS space can be given a large mass by coupling it to a neutral fermion via the Higgs mechanism. In this theory, gauge invariance can be restored either by taking the limit of infinite proper length of the extra dimension or by reducing the AdS curvature radius towards zero. In the latter case, the Kaluza-Klein modes stay heavy and the resulting classical theory approaches a chiral gauge theory, as we verify numerically. Potential difficulties for this approach could arise from the coupling of the longitudinal mode of the light gauge boson, which has to be treated non-perturbatively.

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• Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
• On the decoupling of mirror fermions
• Discretizing Gravity in Warped Spacetime
• Lattice chirality and the decoupling of mirror fermions
• Dynamically Warped Theory Space and Collective Supersymmetry Breaking
• Discretized Gravity in 6D Warped Space
• Kaluza-Klein towers for spinors in warped spaces
• Towards a chiral gauge theory by deconstruction in AdS5