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arXiv · 1002.2437

Gauge Fields, Membranes and Subdeterminant Vector Models

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

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Robert G. Leigh, Andrea Mauri, Djordje Minic, Anastasios C. Petkou. 2010-02-11. Gauge Fields, Membranes and Subdeterminant Vector Models. https://doi.org/10.1103/physrevlett.104.221801

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