title: Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory.
abstract: Recently, it was shown that the spectrum of anomalous dimensions and other important observables in planar N=4 supersymmetric Yang-Mills theory are encoded into a simple nonlinear Riemann-Hilbert problem: the Pμ system or quantum spectral curve. In this Letter, we extend this formulation to the N=6 supersymmetric Chern-Simons theory introduced by Aharony, Bergman, Jafferis, and Maldacena. This may be an important step towards the exact determination of the interpolating function h(λ) characterizing the integrability of this model. We also discuss a surprising relation between the quantum spectral curves for the N=4 supersymmetric Yang-Mills theory and the N=6 supersymmetric Chern-Simons theory considered here.
authors: Dipartimento di Fisica and INFN, Università di Torino, Via Pietro Giuria 1, 10125 Torino, Italy.
authors: Andrea
authors: A
authors: Cavaglià
authors: INFN-Bologna and Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy.
authors: Davide
authors: D
authors: Fioravanti
authors: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom and St. Petersburg INP, Gatchina 188300, St. Petersburg, Russia.
authors: Nikolay
authors: N
authors: Gromov
authors: Dipartimento di Fisica and INFN, Università di Torino, Via Pietro Giuria 1, 10125 Torino, Italy.
authors: Roberto
authors: R
authors: Tateo