Gauge Fields, Membranes and Subdeterminant Vector Models
High Energy Physics - Theory
2010-12-01 v1 Other Condensed Matter
Abstract
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 is a generalization of the scalar Bagger-Lambert-Gustavsson (BLG) model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling behaviors. We comment on the relevance of our models to strings, membranes and also to a class of novel spin systems that are based on ternary commutation relations.
Keywords
Cite
@article{arxiv.1002.2437,
title = {Gauge Fields, Membranes and Subdeterminant Vector Models},
author = {Robert G. Leigh and Andrea Mauri and Djordje Minic and Anastasios C. Petkou},
journal= {arXiv preprint arXiv:1002.2437},
year = {2010}
}
Comments
5 pages