https://doi.org/10.1140/epjc/s10052-016-4282-7
Regular Article - Theoretical Physics
Disformal transformation in Newton–Cartan geometry
1
Department of Information, Zhejiang Chinese Medical University, Hangzhou, 310053, China
2
School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou, 510275, China
3
School of Physics, Nankai University, Tianjin, 300071, China
* e-mail: huangp46@mail.sysu.edu.cn
Received:
21
June
2016
Accepted:
25
July
2016
Published online:
4
August
2016
Newton–Cartan geometry has played a central role in recent discussions of the non-relativistic holography and condensed matter systems. Although the conformal transformation in non-relativistic holography can easily be rephrased in terms of Newton–Cartan geometry, we show that it requires a nontrivial procedure to arrive at the consistent form of anisotropic disformal transformation in this geometry. Furthermore, as an application of the newly obtained transformation, we use it to induce a geometric structure which may be seen as a particular non-relativistic version of the Weyl integrable geometry.
© The Author(s), 2016
