Lifshitz scale anomalies

Igal Arav, Shira Chapman, Yaron Oz

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

Original languageEnglish
Article number78
JournalJournal of High Energy Physics
Issue number2
StatePublished - 1 Feb 2015
Externally publishedYes


  • Anomalies in Field and String Theories
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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