Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-14
Phys.Rev.D75:065028,2007
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, no figures
Scientific paper
10.1103/PhysRevD.75.065028
Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model.
Clark Thomas E.
Love S. T.
Nitta Muneto
Veldhuis Tonnis ter
Xiong Chi
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