Inflation versus collapse in brane matter

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.

12 pages, version accepted for publication; references and comments added to Summary; typos corrected

References in corpus (3)

• The construction of brane and superbrane actions using non-linear realisations
• Conformal Gravity from Gauge Theory
• Exact solutions for U(1) globally invariant membranes