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.

arXiv comment12 pages, version accepted for publication; references and comments added to Summary; typos corrected

References in corpus (9)

• Spherically Symmetric Solutions in Higher-Derivative Gravity
• The construction of brane and superbrane actions using non-linear realisations
• Lorentz completion of effective string (and p-brane) action
• Conformal Gravity from Gauge Theory
• Non-linear Realizations, Goldstone bosons of broken Lorentz rotations and effective actions for p-branes
• Exact solutions for U(1) globally invariant membranes
• Principles of Quantum Universe
• Gauge theory approach to branes and spontaneous symmetry breaking
• Kalb-Ramond interaction for a closed p-brane

Cited by in corpus (2)

• Brane mechanism of spontaneously generated gravity
• $p$-Branes with $Ad{S}_{p+1}$ vacuum as models of $R^2$ gravity