Nonlinear Schr?dinger Equation, 2D N = (2, 2)* Topological Yang-Mills-Higgs Theory and Their Gravity Dual

24th International Conference on Integrable Systems and Quantum symmetries

Nian, Jun^1

Institut des Hautes Etudes Scientifiques, Le Bois-Marie, 35 route de Chartres, Bures-sur-Yvette

91440, France^1

关键词: Coupling limits;    Dinger equation;    Gauge theory;    Integrable models;    Integrable systems;    Large N;    Quantum symmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012033/pdf
DOI  :  10.1088/1742-6596/804/1/012033

来源: IOP

【 摘 要 】

The duality between the N-particle sector of quantum nonlinear Schrödinger equation and the 2D N = (2, 2)∗U(N) topological Yang-Mills-Higgs theory was found by Gerasimov and Shatashvili some time ago. At the large N and large 't Hooft coupling limit, the gravity dual of the 2D N = (2, 2)∗U(N) topological Yang-Mills-Higgs theory can be constructed. Consequently, as a first example, one can formulate a triangle relation between integrable model, gauge theory and gravity. We present the results of the gravity dual in this paper, and make some checks at classical level between the gravity dual and the nonlinear Schrödinger equation. This paper is based on the talk given by the author at the 24th International Conference on Integrable Systems and Quantum Symmetries, and more details can be found in Ref. [1].