The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system

Understand

With the formulation of the quantum spectral curve for the AdS5/CFT4 integrable system, it became potentially possible to compute its full spectrum with high efficiency.

• This is the first paper in a series devoted to the explicit design of such computations, with no restrictions to particular subsectors being imposed.
• We revisit the representation theoretical classification of possible states in the spectrum and map the symmetry multiplets to solutions of the quantum spectral curve at zero coupling.
• To this end it is practical to introduce a generalisation of Young diagrams to the case of non-compact representations and define algebraic Q-systems directly on these diagrams.