Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-17
JHEP 0502 (2005) 009
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 6 figures; v2 minor corrections; v3 refs, orbifold discussion added; v4 more refs
Scientific paper
10.1088/1126-6708/2005/02/009
In important recent developments, new Sasaki-Einstein spaces $Y^{p,q}$ and conformal gauge theories dual to $AdS_5\times Y^{p,q}$ have been constructed. We consider a stack of N D3-branes and M wrapped D5-branes at the apex of a cone over $Y^{p,q}$. 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 $R^{3,1}$. 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 $Y^{p,q}$. We describe the RG cascades in the dual quiver gauge theories, and find an exact agreement between the supergravity and the field theory beta functions. We also discuss certain dibaryon operators and their dual wrapped D3-branes in the conformal case M=0.
Ejaz Qudsia J.
Herzog Christopher P.
Klebanov Igor R.
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