New checks and subtleties for AdS/CFT and a-maximization View Full Text


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Article Info

DATE

2004-12-10

AUTHORS

Matteo Bertolini, Francesco Bigazzi, Aldo Lorenze Cotrone

ABSTRACT

We provide a cross-check of AdS/CFT and a-charge maximization for a four dimensional = 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. More... »

PAGES

024

References to SciGraph publications

  • 2003-11-08. Central charges and U(1)R symmetries in đť’© = 1 super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-01-22. The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-08-31. Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-07-30. The holographic Weyl anomaly in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-08-29. Dibaryon spectroscopy in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-03. Baryon Charges in 4d Superconformal Field Theories and Their AdS Duals in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2002-06-23. Baryon Spectra and AdS/CFT Correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-12-27. Symmetries of Toric Duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 1987-03. Kähler-Einstein metrics on complex surfaces withC1>0 in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1998-07-14. Baryons and branes in anti de Sitter space in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/12/024

    DOI

    http://dx.doi.org/10.1088/1126-6708/2004/12/024

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1048822307


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