Super Galilean conformal algebra in AdS/CFT

Understand

Galilean conformal algebra (GCA) is an Inonu-Wigner (IW) contraction of a conformal algebra, while Newton-Hooke string algebra is an IW contraction of an AdS algebra which is the isometry of an AdS space.

• It is shown that the GCA is a boundary realization of the Newton-Hooke string algebra in the bulk AdS.
• The string lies along the direction transverse to the boundary, and the worldsheet is AdS_2.
• The one-dimensional conformal symmetry so(2,1) and rotational symmetry so(d) contained in the GCA are realized as the symmetry on the AdS_2 string worldsheet and rotational symmetry in the space transverse to the AdS_2 in AdS_{d+2}, respectively.