Gauge fields, membranes, and subdeterminant vector models

Robert G. Leigh, Andrea Mauri, Djordje Minic, Anastasios C. Petkou

Research output: Contribution to journalArticlepeer-review


We present a class of classically marginal N-vector models in d=4 and d=3 whose scalar potentials can be written as subdeterminants of symmetric matrices. The d=3 case can be thought of as a generalization of the scalar sector of the Bagger-Lambert-Gustavsson model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling behaviors. We comment on the possible relevance of our models to strings, membranes, and also to a class of novel spin systems that are based on ternary commutation relations.

Original languageEnglish (US)
Article number221801
JournalPhysical review letters
Issue number22
StatePublished - Jun 1 2010

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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