title: Exact slope and interpolating functions in N=6 supersymmetric Chern-Simons theory.
abstract: Using the quantum spectral curve approach we compute, exactly, an observable (called slope function) in the planar Aharony-Bergman-Jafferis-Maldacena 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 semiclassical 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 Marino and Putrov [J. High Energy Phys. 06 (2010) 011], we conjecture an exact expression for h(λ).
authors.affiliation: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom and St. Petersburg INP, Gatchina, 188300 St. Petersburg, Russia.
authors.forename: Nikolay
authors.initials: N
authors.lastname: Gromov
authors.affiliation: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.
authors.forename: Grigory
authors.initials: G
authors.lastname: Sizov