Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory

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...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2014-07, Vol.113 (2), p.021601-021601, Article 021601
Main Authors: Cavaglià, Andrea, Fioravanti, Davide, Gromov, Nikolay, Tateo, Roberto
Format: Article
Language:English
Subjects:
Mathematical models
Nonlinearity
Spectra
Supersymmetry
Yang-Mills theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.113.021601