Saturation and Confinement: Analyticity, Unitarity and AdS/CFT Correspondence

Understand

In $1/N_c$ expansion, analyticity and crossing lead to crossing even and odd ($C=\pm 1$) vacuum exchanges at high-energy, the {\em Pomeron} and the {\em Odderon}.

• We discuss how, using {\em String/Gauge duality}, these can be identified with a reggeized {\em Graviton} and the anti-symmetric {\em Kalb-Ramond fields} in $AdS$ background.
• With confinement, these Regge singularities interpolate with glueball states.
• We also discuss unitarization based on eikonal sum in $AdS$.