On the geometry and the moduli space of beta-deformed quiver gauge theories

Details On the geometry and the moduli space of beta-deformed quiver gauge theories On the geometry and the moduli space of beta-deformed quiver gauge theories

2007-12-07

arxiv.org/abs/0712.1215v1

JHEP 0807:053,2008

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, 8 figures

Scientific paper

10.1088/1126-6708/2008/07/053

We consider a class of super-conformal beta-deformed N=1 gauge theories dual to string theory on $AdS_5 \times X$ with fluxes, where $X$ is a deformed Sasaki-Einstein manifold. The supergravity backgrounds are explicit examples of Generalised Calabi-Yau manifolds: the cone over $X$ admits an integrable generalised complex structure in terms of which the BPS sector of the gauge theory can be described. The moduli spaces of the deformed toric N=1 gauge theories are studied on a number of examples and are in agreement with the moduli spaces of D3 and D5 static and dual giant probes.

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