Quark–Lepton Families and Irreducible Anomaly-Free Sets in Flipped Trinification

Giraldo, Yithsbey Y Benavides, Richard H. Y Rojas, Eduardo (2025) Quark–Lepton Families and Irreducible Anomaly-Free Sets in Flipped Trinification. In: X Comhep, 04/12/25, Medellín, Colombia.

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Resumen

We develop a model-independent framework to construct quark–lepton families in flipped trinification, SU(3)C × SU(3)L × SU(3)R × U(1)X, for arbitrary charge embedding. The approach identifies and classifies Irreducible Anomaly-Free Sets (IAFS), minimal fermion multiplet combinations that cancel by themselves all gauge and mixed anomalies: [SU(3)L,R]³, [SU(3)L,R]²U(1)X, [SU(3)C]²U(1)X, U(1)X³, and grav²U(1)X. We show how Standard Model families arise as unions of a small number of IAFS and derive general constraints relating family replication to color, recovering well-known 331-like non-universality as a limiting case. For each IAFS we provide electroweak-viable charge assignments, discuss the scalar content needed for the sequential breaking SU(3)L × SU(3)R × U(1)X → SU(2)L × U(1)Y, and outline renormalizable Yukawa structures that generate realistic quark and lepton masses (including right-handed neutrinos) while controlling exotic states. The classification maps directly onto phenomenology, predicting patterns for extra neutral currents (Z′/Z″), exotic quark and lepton charges, residual discrete symmetries, and typical flavor textures. Our results provide a modular “building-block” toolkit to engineer flipped-trinification models from quark–lepton families and their irreducible anomaly-free combinations, clarifying which embeddings remain compatible with current collider and flavor constraints.

Tipo de Elemento:	Conferencia o Taller artículo (Poster)
Palabras Clave:	Flipped trinification, quark–lepton families, anomaly cancellation, gauge symmetry, particle physics models, beyond the Standard Model, fermion representations, grand unified theories.
Asunto:	Q Ciencias > Q Science (General) Q Ciencias > QC Physics
Division:	Facultad de Ciencias Exactas y Naturales > Programa de Física > Eventos
Depósito de Usuario:	Prof. Yithsbey / Y. Giraldo
Fecha Deposito:	06 Mar 2026 15:20
Ultima Modificación:	06 Mar 2026 15:20
URI:	http://sired.udenar.edu.co/id/eprint/17717

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