Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2018)153
Keywords
Conformal and W Symmetry; Anomalies in Field and String Theories
Categories
Funding
- National Science Foundation of Belgium (FWO) [G.001.12 Odysseus]
- European Research Council [ERC-2013-CoG 616732 HoloQosmos]
- COST Action [MP1210]
- STFC [ST/L00044X/1, ST/L000296/1, ST/P000711/1]
- European Union [690575]
- STFC [ST/P004326/1] Funding Source: UKRI
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We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime dimensions. In dimensions three and four, we give explicit results for the renormalised correlators, the anomalous Ward identities they obey, and the conformal anomalies. For the stress tensor 3-point function in four dimensions, we identify the specific evanescent tensorial structure responsible for the type A Euler anomaly, and show this anomaly has the form of a double copy of the chiral anomaly.
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