摘要: In this study, we investigate three -dimensional torsional Newton-Cartan (INO) gravity by gauging the suu() algebra and construct its action using the Chern-Simons theory. This TNC exhibits novel features,including the fact that the gauge fields associated with both dilatation and rotation symmetries transform non-trivially under Galilean boosts. This theory also reproduces the Schrodinger gravity acquired by gauging the extended z=2 Schrodinger algebra via a large speed of light 0-expansion. In particular, we explain that the z = 2 Lifshitz vacuum solution appearing in Schrodinger gravity is related to the null reduction of 4d 2-background up to a conformal factor Based on these results we revisit the identification between the extended Schrodinger algebra and bosonic analogue of super BMS algebra. We interpret that this relation originates from the algebra which acts as the bosonic analogue of superconformal algebra.

作者: Yang Lei[1]; Dong Zhang[1]

机构: [1]Institute for Advanced Study & School of Physical Science and Technology Soochow University, Suzhou 215006

期刊: 《Journal of Physics A: Mathematical & Theoretical》

D0 I:10.1088/1751-8121/adfea8