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

References in corpus (24)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Logarithmic scaling in gauge/string correspondence
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Anomalous radius shift in AdS(4)/CFT(3)
• The Quantum Spectral Curve of the ABJM theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Strong-coupling expansion of cusp anomaly from quantum superstring
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Comment on the Scaling Function in AdS4 x CP3
• World-sheet scattering in AdS_5 x S^5 at two loops
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Quark-antiquark potential in AdS at one loop
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Quantum Strings and the AdS4/CFT3 Interpolating Function

Cited by in corpus (3)

• Macroscopic (and Microscopic) Massless Modes
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector