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The trinification grand unified theory (GUT) has gauge group SU(3)^3 and adiscrete symmetry permuting the SU(3) factors. In common with other GUTs, theattractive nature of the fermionic multiplet assignments is obviated by thecomplicated multi-parameter Higgs potential apparently needed forphenomenological reasons, and also by vacuum expectation value (VEV)hierarchies within a given multiplet. This motivates the rigorous considerationof Higgs potentials, symmetry breaking patterns and alternative symmetrybreaking mechanisms in models with this gauge group. Specifically, we study therecently proposed ``clash of symmetries'' brane-world mechanism to see if itcan help with the symmetry breaking conundrum. This requires a detailedanalysis of Higgs potential global minima and kink or domain wall solutionsinterpolating between the disconnected global minima created throughspontaneous discrete symmetry breaking. Sufficiently long-lived metastablekinks can also be considered. We develop what we think is an interesting,albeit speculative, brane-world scheme whereby the hierarchical symmetrybreaking cascade, trinification to left-right symmetry to the standard model tocolour cross electromagnetism, may be induced without an initial hierarchy invacuum expectation values. Another motivation for this paper is simply tocontinue the exploration of the rich class of kinks arising in models that areinvariant under both discrete and continuous symmetries.Comment: 12 pages, RevTex, references adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Kink-induced symmetry breaking patterns in brane-world<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mn>3</mml:mn></mml:msup></mml:math>trinification models

Kink-induced symmetry breaking patterns in brane-worldSU(3)3trinification models