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Two-loop cusp anomaly in ABJM at strong coupling

Bianchi, L., Bianchi, M. S., Bres, A. , Forini, V. ORCID: 0000-0001-9726-1423 & Vescovi, E. (2014). Two-loop cusp anomaly in ABJM at strong coupling. Journal of High Energy Physics, 2014, 13.. doi: 10.1007/JHEP10(2014)013


We compute the null cusp anomalous dimension of ABJM theory at strong coupling up to two-loop order. This is done by evaluating corrections to the corresponding superstring partition function, weighted by the AdS 4 × ℂℙ3 action in AdS light-cone gauge. We compare our result, where we use an anomalous shift in the AdS 4 radius, with the cusp anomaly of N = 4 SYM, and extract the two-loop contribution to the non-trivial integrable coupling h(λ) of ABJM theory. It coincides with the strong coupling expansion of the exact expression for h(λ) recently conjectured by Gromov and Sizov. Our work provides thus a non-trivial perturbative check for the latter, as well as evidence for two-loop UV-finiteness and quantum integrability of the Type IIA AdS 4 × ℂℙ3 superstring in this gauge.

Publication Type: Article
Publisher Keywords: AdS-CFT Correspondence, Chern-Simons Theories, Integrable Field Theories, Sigma Models
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Text - Accepted Version
Available under License Creative Commons: Attribution International Public License 4.0.

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