Five loop Konishi from AdS/CFT

By Z. Bajnok, Á. Hegedűs, Romuald A. Janik, Tomasz Lukowski. 2009

151 citations recorded by the source corpus.

Abstract We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using Luscher formulas adapted to multimagnon states at weak coupling. In addition, we derive the five loop wrapping contribution for the L = 2 single impurity state in the β deformed theory, which may be within reach of a direct perturbative computation. The Konishi expression exhibits two new features — a modification of Asymptotic Bethe Ansatz quantization and sensitiveness to an infinite set of coefficients of the BES/BHL dressing phase. The result satisfies nontrivial self-consistency conditions — simple transcendentality structure and cancellation of μ -term poles. It may be a testing ground for the proposed AdS/CFT TBA systems.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5905e7a66038c9f13fe5d4a16c41bb00cfdcbe12

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Citations in the corpus

Extended Y-system for the AdS5/CFT4 correspondence (2010, methodology): “The method proposed by Bajnok and Janik can be extended to higher orders in g2 [16,17] but – as in most of the known perturbative schemes – the technical complication increases very sharply with the loop order and precise non-perturbative predictions are usually out of reach.”
Five-loop anomalous dimension of twist-two operators (2009, methodology): “In this section we calculate the wrapping correction by evaluating the first Lüscher correction at weak-coupling along the lines advocated in [19], [23] and [24].”
Integrability, spin-chains and the AdS3/CFT2 correspondence (2011, unknown): “1 This proposal has a passed a large number of stringent tests [7–11].”
Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries (2010, methodology): “Also working at β = 1 2 , and using the Lüscher techniques reviewed in [25], the work [36] calculated the wrapping corrections to the single-impurity operator with L = 4 up to five loops, i.”