How do I show that the compactification of Minkowski is given by the quadric uv−ηijxixj=0
with an overall scale equivalence in the coordinates.I get that for v≠0, the surface can be parametrized with the Minkowski coordinates. Now for v=0, I can have arbitrary values of u, which means basically two values, u=0 and u≠0. So are the infinities mapped to these points ? After that is it obvious that the conformal group acts on the space time defined by the quadric ?
From, uv−ηijxixj=1
if I have to show that the boundary of AdSd+1 is Minkowski in d dimensions, how do I take the limit ?
No comments:
Post a Comment