Two-loop cusp anomaly in ABJM at strong coupling

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 $Ad{S}_4\times {\mathbb{CP}}^3$ action in AdS light-cone gauge. We compare our result, where we use an anomalous shift in the $Ad{S}_4$ radius, with the cusp anomaly of $\mathcal{N}=4$ SYM, and extract the two-loop contribution to the non-trivial integrable coupling $h(\lambda )$ of ABJM theory. It coincides with the strong coupling expansion of the exact expression for $h(\lambda )$ 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 $Ad{S}_4\times {\mathbb{CP}}^3$ superstring in this gauge.

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

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• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Exact Bremsstrahlung functions in ABJM theory
• Macroscopic (and Microscopic) Massless Modes
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Wilson loops at large $N$ and the quantum M2 brane
• On the Exact Interpolating Function in ABJ Theory
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Integrated negative geometries in ABJM
• Worldsheet scattering for the GKP string
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• On the scattering of gluons in the GKP string
• Green-Schwarz superstring on the lattice
• Y-system for $\gamma$-deformed ABJM Theory
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Cusped Wilson lines in symmetric representations
• An exact limit of ABJM
• ABJM flux-tube and scattering amplitudes
• Holography on the lattice: the string worldsheet perspective