How a-type anomalies can depend on marginal couplings

preprint2020arXivOpen access

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.

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