Gauge Boson Mass Generation in AdS4

TL;DR

This paper explores how boundary conditions in AdS4 can break gauge symmetry, leading to gauge boson masses at one loop, with implications for chiral theories like the Standard Model and connections to CFTs.

Contribution

It demonstrates that boundary conditions in AdS4 can induce gauge symmetry breaking and mass generation for gauge bosons at one loop, especially affecting chiral gauge theories.

Findings

Gauge bosons become massive at one loop due to boundary conditions.

Chiral gauge theories like the Standard Model are necessarily massive in AdS4.

Implications for three-dimensional CFTs are discussed.

Abstract

We investigate the role of boundary conditions in gauge theories in AdS4. The presence of the boundary can break the gauge symmetry consistently with AdS4 isometries. We show that, as a consequence, the gauge bosons associated to the broken symmetries become massive at one loop. In particular chiral gauge theories such us the Standard Model are necessarily massive in AdS4. We briefly discuss similarities with the Schwinger model and implications for CFTs in three dimensions.