Strings on conifolds from strong coupling dynamics: quantitative results

Abstract

Three quantitative features of string theory on AdS_5 x X_5, for any (quasi)regular Sasaki-Einstein X_5, are recovered exactly from an expansion of field theory at strong coupling around configurations in the moduli space of vacua. These configurations can be thought of as a generalized matrix model of (local) commuting matrices. First, we reproduce the spectrum of scalar Kaluza-Klein modes on X_5. Secondly, we recover the precise spectrum of BMN string states, including a nontrivial dependence on the volume of X_5. Finally, we show how the radial direction in global AdS_5 emerges universally in these theories by exhibiting states dual to AdS giant gravitons.

1+28 pages. 1 figure

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• Giant magnons and spiky strings on the conifold
• Examples of Emergent Type IIB Backgrounds from Matrices
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• BPS coherent states and localization
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Eigenvalue Dynamics for Multimatrix Models
• Shaping up BPS States with Matrix Model Saddle Points