Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory.
Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory.
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N=6 超对称陈-西蒙斯理论的量子光谱曲线。
DOI：
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发表时间：
2014
影响因子：
8.6
通讯作者：
R. Tateo
中科院分区：
文献类型：
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作者：
A. Cavaglià;D. Fioravanti;N. Gromov;R. Tateo
最近的研究表明，平面N=4超对称Yang-Mills理论中的反常维数谱和其他重要的观测量可以被编码成一个简单的非线性Riemann-Hilbert问题：Pμ系统或量子谱曲线。在这封信中，我们将这个公式推广到由Aharony，Bergman，Jafferis和Maldacena介绍的N=6超对称Chern-Simons理论。这可能是一个重要的一步，以准确确定插值函数h（λ）表征该模型的可积性。我们还讨论了一个令人惊讶的N=4超对称杨-米尔斯理论和N=6超对称陈-西蒙斯理论的量子谱曲线之间的关系在这里考虑。
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.