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Transgressing the horizons: Time operator in two-dimensional dilaton gravity

Transgressing the horizons: Time operator in two-dimensional dilaton gravity

We present a Dirac quantization of generic single-horizon black holes in two-dimensional dilaton gravity. The classical theory is first partially reduced by a spatial gauge choice under which the spatial surfaces extend from a black or white hole singularity to a spacelike infinity. The theory is then quantized in a …