Two-loop cusp anomaly in ABJM at strong coupling

2014/07/31 by Lorenzo Bianchi, Marco S. Bianchi, Alexis Bres +2 · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep10(2014)013

26 pages, few typos corrected, one footnote added, one reference added

arxiv created 2014/10/01 · arxiv updated 2015/06/22

Abstract

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 AdS₄× \mathbbCP³ action in AdS light-cone gauge. We compare our result, where we use an anomalous shift in the AdS₄ 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 AdS₄× \mathbbCP³ superstring in this gauge.

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• Perturbation theory for string sigma models
• On regularizing the AdS superstring worldsheet

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