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arXiv · hep-th/0210218

Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality

Sean A. Hartnoll·Carlos Nunez
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Abstract

We show that the $E-S \sim \log S$ behaviour found for long strings rotating on $AdS_5\times S^5$ may be reproduced by membranes rotating on $AdS_4\times S^7$ and on a warped $AdS_5$ M-theory solution. We go on to obtain rotating membrane configurations with the same $E-K \sim \log K$ relation on $G_2$ holonomy backgrounds that are dual to ${\mathcal{N}}=1$ gauge theories in four dimensions. We study membrane configurations on $G_2$ holonomy backgrounds systematically, finding various other Energy-Charge relations. We end with some comments about strings rotating on warped backgrounds.

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Sean A. Hartnoll, Carlos Nunez. 2002-11-15. Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality. https://doi.org/10.1088/1126-6708%2F2003%2F02%2F049

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