Cascading RG Flows from New Sasaki-Einstein Manifolds

نویسندگان

  • C. P. Herzog
  • Q. J. Ejaz
  • I. R. Klebanov
چکیده

In important recent developments, new Sasaki-Einstein spaces Y p,q and conformal gauge theories dual to AdS5 × Y p,q have been constructed. We consider a stack of N D3-branes and M wrapped D5-branes at the apex of a cone over Y . Replacing the D-branes by their fluxes, we construct asymptotic solutions for all p and q in the form of warped products of the cone and R. We show that they describe cascading RG flows where N decreases logarithmically with the scale. The warp factor, which we determine explicitly, is a function of the radius of the cone and one of the coordinates on Y . We describe the RG cascades in the dual quiver gauge theories, and find an exact agreement between the supergravity and the field theory β-functions. We also discuss certain dibaryon operators and their dual wrapped D3-branes in the conformal case M = 0. December 2004

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تاریخ انتشار 2004