Weyl Anomaly Induced Stress Tensors in General Manifolds

Kuo-Wei Huang

doi:10.1016/j.nuclphysb.2013.12.013

Weyl Anomaly Induced Stress Tensors in General Manifolds

High Energy Physics - Theory 2015-06-16 v1

Authors: Kuo-Wei Huang

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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.

Keywords

weyl anomaly stress tensor conformal field theory dimensional regularization general manifolds type a anomaly type b anomaly

Cite

@article{arxiv.1308.2355,
  title  = {Weyl Anomaly Induced Stress Tensors in General Manifolds},
  author = {Kuo-Wei Huang},
  journal= {arXiv preprint arXiv:1308.2355},
  year   = {2015}
}

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15 pages

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