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Updated: Apr 23, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Exact slope and interpolating functions in N=6 supersymmetric Chern-Simons theory
Nikolay Gromov1, Grigory Sizov2
1Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom and St. Petersburg INP, Gatchina, 188300 St. Petersburg, Russia.
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).
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