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How a-type anomalies can depend on marginal couplings

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arxiv 1907.04952 v3 pith:DEGEOGUN submitted 2019-07-10 hep-th

Christopher P. Herzog , Itamar Shamir This is my paper · ORCID
classification hep-th
keywords marginalanomaliesboundariesdefectsdependdimensionala-typeanomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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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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