2010/02/11 by Robert G. Leigh, Andrea Mauri, Djordje Minić +2 · 5 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Computer science #Gauge theory #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Scalar (mathematics) #Scalar potential #Scaling #Ternary operation #cond-mat.other #hep-th
paper · pdf · doi:10.1103/physrevlett.104.221801
published in Physical Review Letters 104(22), 221801 (American Physical Society) · 5 pages
arxiv created 2010/02/11 · openalex publication_date 2010/06/01 · arxiv updated 2010/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.