title: Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory.
abstract: We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N = 4 supersymmetric Yang-Mills theory. It takes the form of a Y system based on the integrability of the dual superstring sigma model on the five-dimensional anti-de Sitter space (AdS_{5} x S;{5}) background. This Y system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS_{4}/three-dimensional conformal field theory duality is also treated in a similar fashion.
authors.affiliation: DESY Theory, Hamburg, Germany.
authors.forename: Nikolay
authors.initials: N
authors.lastname: Gromov
authors.forename: Vladimir
authors.initials: V
authors.lastname: Kazakov
authors.forename: Pedro
authors.initials: P
authors.lastname: Vieira