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

2007/12/07 by Agostino Butti, Davide Forcella, Luca Martucci +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/07/053

published as JHEP 0807:053,2008 · 53 pages, 8 figures

arxiv created 2007/12/07 · openalex publication_date 2008/07/10 · arxiv updated 2011/02/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a class of super-conformal beta-deformed N=1 gauge theories dual to string theory on AdS₅ × 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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