Gravity-gauge Anomaly Constraints on the Energy-momentum Tensor
arxiv(2023)
摘要
We derive constraints on the four dimensional energy-momentum tensor from
gravitational and gauge anomalies. Our work can be considered an extension of
Duff's analysis [1] to include parity-odd terms and explicit symmetry breaking.
The constraints imply the absence of the parity-odd $R\tilde R$-term in a
model-independent way. Remarkably, even in the case of explicit symmetry
breaking the $\Box R$-anomaly is found to be finite and unambiguous after
applying the symmetry constraints. We compute mixed gravity-gauge anomalies at
leading order and deduce phenomenological consequences for vector bosons
associated with global chiral symmetries.
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