Gauge field localization in models
with large extra dimensions
(brane‐world)
Datum
17.8.2010 14:00
Přednášející
Prof. Norisuke Sakai
| Tokyo Womans Christian University
|
Obsah
In models with large extra dimensions, standard model particles should be localized
in a brane embedded in higher dimensional spacetime. We will explain why it has been
difficult to localize gauge fields on a brane. We propose a mechanism using the positiondependent
gauge coupling to localize non‐Abelian gauge fields on domain walls in fivedimensional
space‐time. Low‐energy effective theory possesses a massless vector field, and
a mass gap. The four‐dimensional gauge invariance is maintained intact. We obtain
perturbatively the four‐dimensional Coulomb law for static sources on the domain wall. BPS
domain wall solutions with the localization mechanism are explicitly constructed in the
U(1) x U(1) supersymmetric gauge theory coupling to the non‐Abelian gauge fields only
through the cubic prepotential, which is consistent with the general principle of
supersymmetry in five‐dimensional space‐time