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Abstract
Massless matter fields and non-Abelian gauge fields are localized on domain walls in a (4 + 1)-dimensional U(N)c gauge theory with SU(N)L × SU(N)R × U(1)A flavor symmetry. We also introduce SU(N)L + R flavor gauge fields and a scalar-field-dependent gauge coupling, which provides massless non-Abelian gauge fields localized on the wall. We find a chiral Lagrangian interacting minimally with the non-Abelian gauge field together with nonlinear interactions of moduli fields as the (3 + 1)-dimensional effective field theory up to the second order of derivatives. Our result provides a step towards a realistic model building of the brane-world scenario using topological solitons.
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Details
1 Fukushima National College of Technology, Iwaki, Fukushima 970-8034, Japan; Institute of Experimental and Applied Physics, Czech Technical University in Prague, Horská 22, 128 00 Prague 2, Czech Republic
2 Institute of Experimental and Applied Physics, Czech Technical University in Prague, Horská 22, 128 00 Prague 2, Czech Republic; Institute of Physics, Silesian University in Opava, Bezručovo nám. 1150/13, 746 01 Opava, Czech Republic
3 Department of Physics, Yamagata University, Yamagata 990-8560, Japan
4 Department of Mathematics, Tokyo Woman's Christian University, Tokyo 167-8585, Japan