Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 25, Issue 14, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/25/14/145013
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Analytic properties of Graham-Witten anomalies are considered. Weyl anomalies according to their analytic properties are of type A (coming from delta-singularities in correlators of several energy-momentum tensors) or of type B (originating in counterterms which depend logarithmically on a mass scale). It is argued that all Graham-Witten anomalies can be divided into two groups, internal and external, and that all external anomalies are of type B, whereas among internal anomalies there is one term of type A and all the rest are of type B. This argument is checked explicitly for the case of a free scalar field in a six-dimensional space with a two-dimensional submanifold.
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