Identify the proper topological EFT for anomalous emergent symmetry

Determine the proper topological effective field theory for anomalous emergent symmetries at topological quantum critical points, including the ultraviolet topological terms required to encode symmetry-anomaly flow and saturate the anomaly.

Background

The paper argues that emergent infrared symmetries at topological quantum critical points should be related to ’t Hooft anomalies of higher-dimensional symmetry-protected topological boundaries. It proposes that suitable topological terms may encode the ultraviolet completion and anomaly flow, but leaves the appropriate effective field theory unspecified, particularly in the presence of mixed gravitational anomalies in topological superconductors.

References

There still remains an important question: what is the proper topological EFT for such an anomalous emergent symmetry?

— Holographic Representations of Topological Quantum Criticality: Emergent Symmetry Approach around the Bott Clock  (2608.30335 - Yang et al., 31 Aug 2026) in Section 5, Discussions (Section \ref{sec:discussion})