
AbstractWe present a perturbative derivation of the T‐system that is believed to encode the exact spectrum of planar 𝒩 = 4 SYM. The T‐system is understood as an operator identity between some special line operators, the quantum transfer matrices. By computing the quantum corrections in the process of fusion of transfer matrices, we show that the T‐system holds up to first order in a semi‐classical expansion. This derivation does not rely on any assumption. We also discuss the extension of the proof to other theories, including models describing string theory on various AdS spaces.
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), string, Supersymmetric field theories in quantum mechanics, String theory, string theory, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Integrability, integrability
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), string, Supersymmetric field theories in quantum mechanics, String theory, string theory, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Integrability, integrability
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