A non-abelian kink and its local stability (original) (raw)

Revista Mexicana de Física

A non-abelian kink inducing asymptotically the breaking pattern SU(5)timesZ2rightarrowSU(4)timesU(1)/Z4SU(5)\times Z_2\rightarrow SU(4)\times U(1)/Z_4SU(5)timesZ_2rightarrowSU(4)timesU(1)/Z4 is obtained. We consider a fourth order Higgs potential in a 1+11+11+1 theory where the scalar field is in the adjoint representation of SU(5)SU(5)SU(5). The perturbative stability of the kink also is evaluated. A Schr\"odinger-like equation for the excitations along each SU(5)SU(5)SU(5) generator is determined and in none of the cases negative eigenvalues compromising the stability of solution are found. In particular, several bounded scalar states are determined among them the translational zero mode of the flat space SU(5)timesZ2SU(5)\times Z_2SU(5)timesZ_2 kink.

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A non-abelian kink and its local stability (original) (raw)

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