Cascading RG Flows from New Sasaki-Einstein Manifolds

Abstract

In important recent developments, new Sasaki-Einstein spaces $Y^{p,q}$ and conformal gauge theories dual to $Ad{S}_5\times Y^{p,q}$ 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.

22 pages, 6 figures; v2 minor corrections; v3 refs, orbifold discussion added; v4 more refs

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• The dual superconformal theory for Lpqr manifolds
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• Holographic Systematics of D-brane Inflation
• Holographic renormalization of cascading gauge theories
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• Gauge/Gravity Duality and Warped Resolved Conifold
• Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries
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• Sequestering in String Theory
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• A New Infinite Class of Quiver Gauge Theories
• Multi-Flux Warped Throats and Cascading Gauge Theories
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• Supersymmetric Branes on AdS_5 x Y^{p,q} and their Field Theory Duals
• F-theory and AdS_3/CFT_2 (2,0)
• Dimer Models and Integrable Systems
• Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q}
• The Runaway Quiver
• Current Correlators and AdS/CFT Geometry
• Numerical Kaehler-Einstein metric on the third del Pezzo
• Observing the Geometry of Warped Compactification via Cosmic Inflation
• Non-perturbative superpotentials across lines of marginal stability
• Comments on the non-conformal gauge theories dual to Ypq manifolds
• Deformations of Toric Singularities and Fractional Branes
• Marginal Deformations with U(1)^3 Global Symmetry
• Orbifold Reduction and 2d (0,2) Gauge Theories
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• Short distance properties of cascading gauge theories
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• Holographic dual of the Standard Model on the throat
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• Undoing Orbifold Quivers
• Massless fermionic bound states and the gauge/gravity correspondence
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• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• Half BPS states in AdS_5 x Y^{p,q}
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• On the Scalar Spectrum of the Y^{p,q} Manifolds
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• Trivializing a Family of Sasaki-Einstein Spaces
• Probe D-branes in Superconformal Field Theories
• New self dualities and duality cascades
• Which BPS Baryons Minimize Volume?
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