Grand Unified Theories require complex representations to account for observed fermion chiral anomalies.
the verdict
SUPPORTED
the evidence backs this
confidence 82/100
Evidence from high-energy physics and string theory supports the requirement that Grand Unified Theories must employ complex representations and specific anomaly cancellation mechanisms to remain consistent.
Evidence for · 3
Cohomologies of coherent sheaves and massless spectra in F-theory
2018 · cited by 13
Discusses how line bundles and hypercharge fluxes in F-theory Grand Unified Theories require sophisticated cohomological methods like Chow groups to account for anomaly cancellation and zero mode counting.
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More for · 2
Chiral fermions, Gravity and GUTs
1994 · cited by 6
Demonstrates that global gravitational and gauge anomalies impose strict algebraic constraints on Grand Unified Theories, selecting specific fundamental representations such as the 16-dimensional Weyl representation of SO(10).
Geometric Structure and Renormalization Group Flow in Chiral Yang–Mills–Higgs Theory
2026 · cited by 0
Notes that ultraviolet embeddings and Grand Unified Theories require careful consideration of chiral fermion representations and complex representations to ensure anomaly cancellation.