Higher melonic theories

Steven S. Gubser, Christian Jepsen, Ziming Ji, Brian Trundy

Research output: Contribution to journalArticle

11 Scopus citations


We classify a large set of melonic theories with arbitrary q-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form ℤ2 n for some n, which may be 0. The number of different theories proliferates quickly as q increases above 8 and is related to the problem of counting one-factorizations of complete graphs. The symmetries of the interaction vertex lead to an effective interaction strength that enters into the Schwinger-Dyson equation for the two-point function as well as the kernel used for constructing higher-point functions.

Original languageEnglish (US)
Article number49
JournalJournal of High Energy Physics
Issue number9
StatePublished - Sep 1 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N Expansion
  • Conformal Field Theory
  • Nonperturbative Effects

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    Gubser, S. S., Jepsen, C., Ji, Z., & Trundy, B. (2018). Higher melonic theories. Journal of High Energy Physics, 2018(9), [49]. https://doi.org/10.1007/JHEP09(2018)049