The bi-conical vector model at 1/N

Noam Chai*, Eliezer Rabinovici, Ritam Sinha, Michael Smolkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We study finite N aspects of the O(m) × O(N − m) vector model with quartic interactions in general 2 ≤ d ≤ 6 spacetime dimensions. This model has recently been shown [1, 2] to display the phenomenon of persistent symmetry breaking at a perturbative Wilson-Fisher-like fixed point in d = 4 − ϵ dimensions. The large rank limit of the biconical model displays a conformal manifold and a moduli space of vacua. We find a set of three double trace scalar operators that are respectively irrelevant, relevant and marginal deformations of the conformal manifold in general d. We calculate the anomalous dimensions of the single and multi-trace scalar operators to the first sub-leading order in the large rank expansion. The anomalous dimension of the marginal operator does not vanish in general, indicating that the conformal manifold is lifted at finite N. In the case of equal ranks we are able to derive explicitly the scaling dimensions of various operators as functions of only d.

Original languageAmerican English
Article number192
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).


  • Conformal Field Theory
  • Global Symmetries
  • Nonperturbative Effects


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