Minimal surfaces in q-deformed AdS5xS5

23rd International Conference on Integrable Systems and Quantum Symmetries

Kameyama, Takashi^1

Department of Physics, Kyoto University, Kyoto

606-8502, Japan^1

关键词: Boundary shapes;    Co-ordinate system;    Euclidean;    Holographic screens;    Linear divergence;    Minimal surfaces;    Q-deformation;    Wilson loops;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012028/pdf
DOI  :  10.1088/1742-6596/670/1/012028

来源: IOP

【 摘 要 】

We study minimal surfaces in q-deformed AdS5×S5. For this purpose, it is convenient to introduce a coordinate system which describes the spacetime only inside the singularity surface and treat the singularity surface as the holographic screen. In particular, we consider minimal surfaces whose boundary shapes are 1) a straight line and 2) a circle. In the q → 1 limit, the solutions correspond to a 1/2 BPS straight line Wilson loop and a 1/2 BPS circular one, respectively. A remarkable point is that the classical Euclidean actions have no linear divergence unlike the original ones. This finiteness indicates that the q-deformation may be regarded as a UV regularization.