Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension

Abstract

We study the cusp anomalous dimension in N=6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly solvable due to the surprising supersymmetry of the effective Hamiltonian. In the ABJ case the solution implies the diagonalization of the U(N) and U(M) building blocks, suggesting the existence of two independent cusp anomalous dimensions and an unexpected exponentiation structure for the related Wilson loops. While consistent with previous perturbative analysis, the strong coupling limit of our result does not agree with the string theory computation, emphasizing a difference with the analogous resummation in the N=4 case.

26 pages, 4 figures, references added, published version

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• Fractional M2-branes
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• Quark--anti-quark potential in N=4 SYM
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Cited by in corpus (17)

• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Towards the exact Bremsstrahlung function of ABJM theory
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Exact Bremsstrahlung functions in ABJM theory
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• A review of the AdS/CFT Quantum Spectral Curve
• A matrix model for the latitude Wilson loop in ABJM theory
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• Dyson equations for correlators of Wilson loops
• Ladder Limit for Correlators of Wilson Loops
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• The Game of Triangles
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds