A Vector-Vector-Axial Anomaly in 4D

Evan Berkowitz; Shi Chen; Aleksey Cherman

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arXiv · 2609.17369

A Vector-Vector-Axial Anomaly in 4D

Evan Berkowitz·Shi Chen·Aleksey Cherman

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Abstract

Because it offers exactly-integer topological quantities, the modified Villain discretization offers a route to correct anomaly structure at finite lattice spacing. I will present a 4-dimensional purely-bosonic modified Villain model with an ABJ-type vector-vector-axial anomaly. The model may have a direct continuous phase transition from one SSB phase to another, giving hope of yielding 4D CFT with a VVA anomaly.

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Evan Berkowitz, Shi Chen, Aleksey Cherman. 2026-09-15. A Vector-Vector-Axial Anomaly in 4D. https://arxiv.org/abs/2609.17369

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