Gauged Galileons From Branes

TL;DR

This paper demonstrates how gauged galileons can be derived from a probe brane setup, linking brane bending modes to galileons and off-diagonal metric components to gauge fields, ensuring second-order equations of motion.

Contribution

It introduces a novel brane construction that naturally produces covariant gauged galileons with second-order dynamics, connecting gauge fields and galileons from a geometric perspective.

Findings

Gauged galileons originate from brane bending modes.

Gauge fields emerge from off-diagonal metric components.

Equations of motion remain second order for both fields.

Abstract

We show how the coupling of SO(N) gauge fields to galileons arises from a probe brane construction. The galileons arise from the brane bending modes of a brane probing a co-dimension N bulk, and the gauge fields arise by turning on certain off-diagonal components in the zero mode of the bulk metric. By construction, the equations of motion for both the galileons and gauge fields remain second order. Covariant gauged galileons are derived as well.