M2-brane dynamics in the classical limit of the BMN matrix model

We investigate the large-N limit of the BMN matrix model by analyzing the dynamics of ellipsoidal M2-branes that spin in the 11-dimensional maximally supersymmetric SO(3)×SO(6) plane-wave background. We identify finite-energy solutions by specifying the local minima of the corresponding energy funct...

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Bibliographic Details
Main Authors: Minos Axenides, Emmanuel Floratos, Georgios Linardopoulos
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317306585
Description
Summary:We investigate the large-N limit of the BMN matrix model by analyzing the dynamics of ellipsoidal M2-branes that spin in the 11-dimensional maximally supersymmetric SO(3)×SO(6) plane-wave background. We identify finite-energy solutions by specifying the local minima of the corresponding energy functional. These configurations are static in SO(3) due to the Myers effect and rotate in SO(6) with an angular momentum that is bounded from above. As a first step towards studying their chaotic properties, we evaluate the Lyapunov exponents of their radial fluctuations. Keywords: BMN matrix model, Relativistic membranes
ISSN:0370-2693