  Motivated by sine-square deformation (SSD) for quantum critical systems in
1+1-dimension, we discuss a Mobius quantization approach to the two-dimensional
conformal field theory (CFT), which bridges the conventional radial
quantization and the dipolar quantization recently proposed by Ishibashi and
Tada. We then find that the continuous Virasoro algebra of the dipolar
quantization can be interpreted as a continuum limit of the Virasoro algebra
for scaled generators in the SSD limit of the Mobius quantization approach.
