A non-renormalization theorem for conformal anomalies
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Publication:1572344
DOI10.1016/S0550-3213(99)00514-3zbMATH Open0958.81161arXivhep-th/9906030OpenAlexW2033699606MaRDI QIDQ1572344
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: We provide a non-renormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field theories. We illustrate the theorem by computing the conformal anomaly of 2-point functions both by a computation in the conformal field theory and via the adS/CFT correspondence. Our results imply that 2- and 3-point functions of chiral primary operators in N=4 SU(N) SYM will not renormalize provided that a ``generalized Adler-Bardeen theorem holds. We further show that recent arguments connecting the non-renormalizability of the above mentioned correlation functions to a bonus U(1)_Y symmetry are incomplete due to possible U(1)_Y violating contact terms. The tree level contribution to the contact terms may be set to zero by considering appropriately normalized operators. Non-renormalizability of the above mentioned correlation functions, however, will follow only if these contact terms saturate by free fields.
Full work available at URL: https://arxiv.org/abs/hep-th/9906030
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