\(\mathcal{N} = (1, 0)\) anomaly multiplet relations in six dimensions
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Publication:2215363
DOI10.1007/JHEP07(2020)065zbMATH Open1451.83088arXiv1912.13475MaRDI QIDQ2215363
Author name not available (Why is that?)
Publication date: 11 December 2020
Published in: (Search for Journal in Brave)
Abstract: We consider conformal and 't Hooft anomalies in six-dimensional superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and currents, as well as stress tensors. By analyzing these correlators in superspace, we explain why the number of independent conformal anomalies is reduced in supersymmetric theories. For instance, non-supersymmetric CFTs in six dimensions have three independent conformal -anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three -anomalies are subject to a linear constraint. We also describe anomaly multiplet relations, which express the conformal anomalies of a superconformal theory in terms of its 't Hooft anomalies. Following earlier work on the conformal -anomaly, we argue for these relations by considering the supersymmetric dilaton effective action on the tensor branch of such a theory. We illustrate the utility of these anomaly multiplet relations by presenting exact results for conformal anomalies, and hence current and stress-tensor correlators, in several interacting examples.
Full work available at URL: https://arxiv.org/abs/1912.13475
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