Interacting Topological Superconductors and possible Origin of 16n Chiral Fermions in the Standard Model

2014/02/17 by Yi‐Zhuang You, You, Yi-Zhuang, Yoni BenTov +3 · 4 citations
Physics and Astronomy · #Topological Materials and Phenomena #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.1402.4151

Abstract

Motivated by the observation that the Standard Model of particle physics (plus a right-handed neutrino) has precisely 16 Weyl fermions per generation, we search for (3+1)-dimensional chiral fermionic theories and chiral gauge theories that can be regularized on a 3 dimensional spatial lattice when and only when the number of flavors is an integral multiple of 16. All these results are based on the observation that local interactions reduce the classification of certain (4+1)-dimensional topological superconductors from ℤ to ℤ₈, which means that one of their (3+1)-dimensional boundaries can be gapped out by interactions without breaking any symmetry when and only when the number of boundary chiral fermions is an integral multiple of 16.

Cited by

• Symmetric Mass Generation
• Gauge Enhanced Quantum Criticality Between Grand Unifications: Categorical Higher Symmetry Retraction
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• A Perturbative Approach to Symmetric Mass Generation

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