Vacuum thermal effects in flat space-time from conformal quantum mechanics

Understand

The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics.

• Within this correspondence we show that in conformal quantum mechanics the state associated to the inertial vacuum in Minkowski space-time has the structure of a thermofield double.
• Such state is built from a bipartite "vacuum state", the ground state of the generators of hyperbolic time evolution, which cover only part of the time domain.
• When time evolution is restricted to a finite time domain one obtains the temperature perceived by static diamond observers in the Minkowski vacuum.