Thank you haushofer.haushofer said:My first guess would be that gravitational anomalies arise in effective field theories of quantum gravity (quantization of GR) in triangle diagrams, which analogously to "normal" gauge anomalies in Yang-Mills theories threaten to spoil your gauge symmetry: the invariance under general coordinate transformations.
Gravitational anomalies in gauge theory refer to inconsistencies or deviations from the expected behavior of gravity within the framework of gauge theory. These anomalies arise when trying to quantize gravity, and can lead to conflicts between different theoretical predictions.
Gravitational anomalies can affect gauge theories by introducing inconsistencies or contradictions in the mathematical equations. This can lead to difficulties in making accurate predictions and understanding the behavior of the universe at a fundamental level.
Gravitational anomalies are caused by the difficulty of reconciling the principles of quantum mechanics and general relativity. These two theories have different mathematical frameworks and it is challenging to combine them into a unified theory of quantum gravity.
There is ongoing research and debate in the scientific community about how to resolve gravitational anomalies in gauge theory. Some propose modifications to the existing theories, while others suggest a completely new approach to understanding gravity.
If gravitational anomalies cannot be resolved, it could lead to a fundamental shift in our understanding of the universe and our ability to accurately predict its behavior. It could also have significant implications for other areas of physics, such as cosmology and particle physics.