# Gauge field and brane-localized kinetic terms on the chiral square

## TL;DR

This paper explores how brane-localized kinetic terms affect gauge fields in a six-dimensional model with two flat extra dimensions compactified on a chiral square, revealing similarities to five-dimensional cases and limitations in thick brane scenarios.

## Contribution

It investigates the impact of brane-localized kinetic terms on gauge fields in 6-D models with chiral square compactification, highlighting differences between thin and thick brane cases.

## Key findings

- Thin brane case shows KK tower with masses depending on radius and BLKT.
- Thick brane scenario has no boundary condition solutions.
- Suppressed coupling mechanisms from 5-D do not extend to 6-D.

## Abstract

Extra dimensions have been used as attempts to explain several phenomena in particle physics. In this paper we investigate the role of brane-localized kinetic terms (BLKT) on thin and thick branes with two flat extra dimensions (ED) compactified on the chiral square, and an abelian gauge field in the bulk. The results for a thin brane have resemblance with the 5-D case, leading to a tower of massive KK particles whose masses depend upon the compactification radius and the BLKT parameter. On the other hand, for the thick brane scenario, there is no solution that satisfy the boundary conditions. Because of this, the mechanism of suppressed couplings due to ED [1902.08339] cannot be extended to 6-D.