Exploring the mirror TBA

摘要: We apply the contour deformation trick to Thermodynamic Bethe Ansatz equations for AdS5 × S5 mirror model, and obtain integral determining energy of two-particle excited states dual $ \mathcal{N} = 4 $ SYM operators from sector \mathfrak{s}\mathfrak{l}\left( 2 \right) . show that each state/operator is described by its own set TBA equations. Moreover, we provide evidence state there are infinitely-many critical values ’t Hooft coupling constant λ, have be modified time one crosses those. In particular, estimation based on large L asymptotic solution gives λ ≈ 774 first value corresponding Konishi operator. Our results indicate related calculations conclusions Gromov, Kazakov Vieira should interpreted with caution. The phenomenon discuss might potentially explain mismatch between their recent computation scaling dimension operator done Roiban Tseytlin using string theory sigma model.