Anomalies involving the space of couplings and the Zamolodchikov metric

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review


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. In an appendix, we explain how to obtain the bosonic components in the supergravity completion of the curvature squared terms using compatibility with the topological twist.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Oct 11

ASJC Scopus subject areas

  • General

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