Exact Slope and Interpolating Functions in ABJM Theory

Abstract

Using the Quantum Spectral Curve approach we compute exactly an observable (called slope function) in the planar ABJM theory in terms of an unknown interpolating function h(λ) which plays the role of the coupling in any integrability based calculation in this theory. We verified our results with known weak coupling expansion in the gauge theory and with the results of semi-classical string calculations. Quite surprisingly at strong coupling the result is given by an explicit rational function of h(λ) to all orders. By comparing the structure of our result with that of an exact localization-based calculation for a similar observable in JHEP 1006 (2010) 011 we conjecture an exact expression for h(λ).

5 pages, 1 figure; v3: references added, typos fixed

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Bethe ansatz for superconformal Chern-Simons
• Exact results for the entanglement entropy and the energy radiated by a quark
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Anomalous radius shift in AdS(4)/CFT(3)
• The Quantum Spectral Curve of the ABJM theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Radiation and a dynamical UV/IR connection in AdS/CFT
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory

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