Vacua of N=10 three dimensional gauged supergravity

Details Vacua of N=10 three dimensional gauged supergravity Vacua of N=10 three dimensional gauged supergravity

2010-11-24

arxiv.org/abs/1011.5355v3

Class.Quant.Grav.28:125027,2011

Physics

High Energy Physics

High Energy Physics - Theory

37 pages no figures, typos corrected and a little change in the format

Scientific paper

10.1088/0264-9381/28/12/125027

We study scalar potentials and the corresponding vacua of N=10 three dimensional gauged supergravity. The theory contains 32 scalar fields parametrizing the exceptional coset space $\frac{E_{6(-14)}}{SO(10)\times U(1)}$. The admissible gauge groups considered in this work involve both compact and non-compact gauge groups which are maximal subgroups of $SO(10)\times U(1)$ and $E_{6(-14)}$, respectively. These gauge groups are given by $SO(p)\times SO(10-p)\times U(1)$ for $p=6,...10$, $SO(5)\times SO(5)$, $SU(4,2)\times SU(2)$, $G_{2(-14)}\times SU(2,1)$ and $F_{4(-20)}$. We find many AdS$_3$ critical points with various unbroken gauge symmetries. The relevant background isometries associated to the maximally supersymmetric critical points at which all scalars vanish are also given. These correspond to the superconformal symmetries of the dual conformal field theories in two dimensions.

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