Towards a chiral gauge theory by deconstruction in AdS5

TL;DR

This paper proposes a method to construct chiral gauge theories using deconstruction in a five-dimensional anti-de Sitter space, potentially overcoming previous challenges in realizing chiral fermions in gauge theories.

Contribution

It introduces a novel deconstructed gauge theory setup in AdS5 with chiral zero modes and a Higgs mechanism, aiming to realize a consistent chiral gauge theory.

Findings

Light gauge boson and chiral modes can be parametrically lighter than other states.

The construction suggests a potential explicit realization of chiral gauge theories.

Quantum-level consistency and anomaly considerations are discussed.

Abstract

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.