Phenomenological Lagrangians, gauge models and branes

TL;DR

This paper reformulates phenomenological Lagrangians with broken symmetries using gauge field theory and demonstrates the equivalence of Dirac p-branes descriptions in terms of gauge multiplets and symmetry breaking.

Contribution

It introduces a gauge-theoretic reformulation of phenomenological Lagrangians and establishes the equivalence of two descriptions of Dirac p-branes involving symmetry breaking.

Findings

Reformulation of phenomenological Lagrangians in gauge theory terms

Equivalence between gauge multiplet description and dynamical system description of p-branes

Identification of symmetry breaking pattern for Dirac p-branes

Abstract

Phenomenological Lagrangians for physical systems with spontaneously broken symmetries are reformulated in terms of gauge field theory. Description of the Dirac $p$-branes in terms of the Yang-Mills-Cartan gauge multiplets interacting with gravity, is proved to be equivalent to their description as a closed dynamical system with the symmetry $ISO(1,D-1)$ spontaneously broken to $ISO(1,p)\times SO(D-p-1)$.