Abstract
The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example, we point out that there is a mixed anomaly between the R-symmetry and the topology of the space of exactly marginal couplings of class S theories. Using supersymmetry, we translate this anomaly to the Kähler class of the Zamolodchikov metric. We compare the result against a holographic computation in the large N limit.
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Tachikawa, Y. Anomalies involving the space of couplings and the Zamolodchikov metric. J. High Energ. Phys. 2017, 140 (2017). https://doi.org/10.1007/JHEP12(2017)140
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DOI: https://doi.org/10.1007/JHEP12(2017)140