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arXiv · 1907.04952

How a-type anomalies can depend on marginal couplings

Christopher P. Herzog·Itamar Shamir
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Abstract

Even dimensional defects and boundaries in conformal field theory support type $a$ 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 $a$-anomaly with respect to the marginal coupling. We also argue that the constant term $F$ for odd dimensional surfaces can depend on marginal parameters.

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Christopher P. Herzog, Itamar Shamir. 2020-02-18. How a-type anomalies can depend on marginal couplings. https://doi.org/10.1103/physrevlett.124.011601

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