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

Agostino Butti , Davide Forcella (1) , Luca Martucci (2) , Ruben Minasian (3) , Michela Petrini (4) , Alberto Zaffaroni

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
2 IFT - Institute for Theoretical Physics
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Agostino Butti, Davide Forcella, Luca Martucci, Ruben Minasian, Michela Petrini, et al.. On the geometry and the moduli space of beta-deformed quiver gauge theories. Journal of High Energy Physics, 2008, 0807, pp.053. ⟨hal-00529244⟩