Abstract
Mapping of fundamental branes to their worldsheet (ws) multiplets originating from spontaneous breaking of the Poincaré symmetry is studied. The interaction Lagrangian for fields of the Nambu–Goldstone multiplet is shown to encode [Formula: see text] gravity on the ws. The power law [Formula: see text] for the [Formula: see text] gauge coupling [Formula: see text] as the function of the [Formula: see text]-brane tension [Formula: see text] 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.
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