Symmetry 15, 1579 (2023)
Anisotropic Scaling Non-relativistic Holography: a Symmetry Perspective
Hong Lu1,2,3, Pujian Mao1,*, Jun-Bao Wu1,3
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China
2 Peng Huangwu Center for Fundamental Theory, Hefei, Anhui 230026, P. R. China
3 Joint School of National University of Singapore and Tianjin University,\\ International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China
* pjmao@tju.edu.cn
Abstract
We study the holographic dual of the two dimensional non-relativistic field theory with anisotropic scaling from a symmetry perspective. We construct a new four dimensional metric with two dimensional global anisotropic scaling isometry. The four dimensional spacetime is homogeneous and is a solution of Einstein gravity with quadratic-curvature extension. We consider this spacetime dual to the vacuum of the boundary field theory. By introducing proper solution phase space, we find that the asymptotic symmetry of the gravity theory is the two dimensional local anisotropic conformal symmetry, which recovers precisely the results from the dual non-relativistic field theory side.
