Quantization of 2D Ho\v{r}ava gravity: non-projectable case

Understand

The quantization of two-dimensional Ho\v{r}ava theory of gravity without the projectability condition is considered.

• Our study of the Hamiltonian structure of the theory shows that there are two first-class and two second-class constraints.
• Then, following Dirac we quantize the theory by first requiring that the two second-class constraints be strongly equal to zero.
• This is carried out by replacing the Poisson bracket by the Dirac bracket.