Inflation versus collapse in brane matter

TL;DR

This paper explores the relationship between brane matter phases, such as inflation and collapse, by analyzing the interaction of branes with gravity and gauge couplings, revealing potential phase transitions in brane dynamics.

Contribution

It introduces a model linking brane tension to gauge coupling behavior, suggesting phases of asymptotic freedom and confinement in brane matter, and discusses their implications for brane collapse and inflation.

Findings

Gauge coupling varies with brane tension as a power law.

Presence of asymptotic freedom and confinement phases in brane matter.

Connection between these phases and brane inflation or collapse.

Abstract

Mapping of fundamental branes to their worldsheet (ws) multiplets originating from spontaneous breaking of the Poincare symmetry is studied. The interaction Lagrangian for fields of the Nambu-Goldstone multiplet is shown to encode $R^2$ gravity on the ws. The power law $k_{p}\sim T_{p}^{\frac{3-p}{2(p+1)}}$ for the SO(D-p-1) gauge coupling $k_{p}$ as the function of the p-brane tension $T_{p}$ is assumed. It points to the presence of asymptotic freedom and confinement phases in brane matter. Their connection with collapse and inflation of the branes is discussed.