English

How a-type anomalies can depend on marginal couplings

High Energy Physics - Theory 2020-02-19 v3

Abstract

Even dimensional defects and boundaries in conformal field theory support type aa anomalies on their world-volume. We show that the one-point functions of marginal operators, in the presence of defects and boundaries, are anomalous, and that the Wess-Zumino consistency condition relates them to the derivative of the aa-anomaly with respect to the marginal coupling. We also argue that the constant term FF for odd dimensional surfaces can depend on marginal parameters.

Keywords

Cite

@article{arxiv.1907.04952,
  title  = {How a-type anomalies can depend on marginal couplings},
  author = {Christopher P. Herzog and Itamar Shamir},
  journal= {arXiv preprint arXiv:1907.04952},
  year   = {2020}
}

Comments

5 pages. v2: references added, v3: grant info added

R2 v1 2026-06-23T10:17:58.248Z