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

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

2002-10-22

arxiv.org/abs/hep-th/0210218v2

JHEP 0302 (2003) 049

Physics

High Energy Physics

High Energy Physics - Theory

1+44 pages. Latex. No figures. Minor corrections to make all membrane configurations consistent. One configuration is now nonc

Scientific paper

10.1088/1126-6708/2003/02/049

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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