Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories

Abstract

We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein spaces Y^{p,q} and check supersymmetry explicitly. This space is a central element in the holographic dual of chiral symmetry breaking for a large class of cascading quiver theories. We discuss a solution describing a stack of N D3 branes and M fractional D3 branes at the tip of the deformed spaces.

arXiv comment28 pages, no figures. v2: typos, references and a note added

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• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Screening length in plasma winds
• Supersymmetric Branes on AdS_5 x Y^{p,q} and their Field Theory Duals
• Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q}
• Chiral Symmetry Breaking from Intersecting D-Branes
• The Gauge/Gravity Theory of Blown up Four Cycles
• Black Holes in Cascading Theories: Confinement/Deconfinement Transition and other Thermal Properties
• Quiver Gauge Theory and Conformality at the TeV Scale
• Cascading Quivers from Decaying D-branes
• Branes in $L^{(p,q,r)}$
• Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
• Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories
• Massless fermionic bound states and the gauge/gravity correspondence
• A Quiver of Many Runaways
• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE${}_5$
• On the Scalar Spectrum of the Y^{p,q} Manifolds
• Sasaki-Ricci flow equation on five-dimensional Sasaki-Einstein space $Y^{p,q}$