2004/11/30 by Matteo Bertolini, M. Bertolini, Francesco Bigazzi +3 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Cosmology and Gravitation Theories #Gauge theory #Geometry #Irrational number #Mathematical physics #Mathematics #Maximization #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Quiver #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/12/024
published as JHEP 0412 (2004) 024 · Latex, 16 pagex, 2 figures; v2, comments and a reference added; v3, typos corrected
openalex publication_date 2004/12/10 · arxiv created 2005/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We provide a cross-check of AdS/CFT and a-charge maximization for a four dimensional N=1 SCFT with irrational R-charges. The gauge theory is the low energy effective theory of N D3-branes at the tip of the complex cone over the first del Pezzo surface. By carefully taking into account the subtle issue of flavor symmetry breaking at the fixed point, we show, using a-maximization, that this theory has in fact irrational central charge and R-charges. Our results perfectly match with those inherited from the recently discovered supergravity dual background. Along analogous lines, we make novel predictions for the still unknown AdS dual of the quiver theory for the second del Pezzo surface. This should flow to a SCFT with irrational charges, too. All of our results differ from previous findings in the literature and outline interesting subtleties in a-maximization and AdS/CFT techniques overlooked in the past.