Constraints on Bulk Fields: No-Go Conjectures for Braneworld Models

TL;DR

This paper presents broad no-go conjectures that set fundamental limits on localizing gauge and spinor fields in five-dimensional braneworld models, challenging many existing approaches and revealing inherent theoretical constraints.

Contribution

It introduces a novel, equation-of-motion-independent framework for deriving no-go conditions, providing new fundamental limitations on field localization in braneworld scenarios.

Findings

Existing models cannot localize gauge fields effectively.

Spinor field localization faces fundamental obstacles.

Effective brane Lagrangian cannot be conformally invariant.

Abstract

This work establishes a series of no-go conjectures that impose rigorous constraints on the localization of bulk fields in braneworld scenarios, specifically affecting gauge and spinor fields within five-dimensional spacetimes. Our approach differs from traditional methods as it does not rely on specific equations of motion, making our results broadly applicable across various braneworld models. These no-go conditions reveal fundamental limitations in field localization, challenging the feasibility of embedding fields on the brane. For instance, our analysis demonstrates that existing models fail to achieve consistent localization for gauge and spinor fields. Additionally, one of our conditions indicates that the effective Lagrangian on the brane cannot exhibit conformal invariance.