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arXiv · 1912.13475

${\cal N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions

Clay Cordova·Thomas T. Dumitrescu·Kenneth Intriligator
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Abstract

We consider conformal and 't Hooft anomalies in six-dimensional ${\cal N}=(1,0)$ superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and $SU(2)_R$ 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 $c$-anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three $c$-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 $a$-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.

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Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator. 2019-12-31. ${\cal N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions. https://doi.org/10.1007/jhep07(2020)065

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