Weyl Anomaly Induced Stress Tensors in General Manifolds

Abstract

Considering arbitrary conformal field theories in general (non-conformally flat) backgrounds, we adopt a dimensional regularization approach to obtain stress tensors from Weyl anomalies. The results of type A anomaly-induced stress tensors in four and six-dimensions generalize the previous results calculated in a conformally flat background. On the other hand, regulators are needed to have well-defined type B anomaly-induced stress tensors. We also discuss ambiguities related to type D anomalies, Weyl invariants and order of limit issues.

15 pages

References in corpus (3)

• Towards a derivation of holographic entanglement entropy
• Stress Tensors from Trace Anomalies in Conformal Field Theories
• Does anomalous violation of null energy condition invalidate holographic c-theorem?

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