  The classical gravity approximation is often employed in AdS/CFT to study the
dual field theory, as it allows for many computations. A drawback is however
the generic presence of singularities in classical gravity, which limits the
applicability of AdS/CFT to regimes where the singularities are avoided by bulk
probes, or some other form of regularisation is applicable. At the same time,
quantum gravity is expected to resolve those singularities and thus to extend
the range of applicability of AdS/CFT also in classically singular regimes.
This paper exemplifies such a computation. We use an effective quantum
corrected Kasner-AdS metric inspired by results from non-perturbative canonical
quantum gravity to compute the 2-point correlator in the geodesic approximation
for a negative Kasner exponent. The correlator derived in the classical gravity
approximation has previously been shown to contain a pole at finite distance as
a signature of the singularity. Using the quantum corrected metric, we show
explicitly how the pole is resolved and that a new subdominant long-distance
contribution to the correlator emerges, caused by geodesics passing arbitrarily
close to the resolved classical singularity. In order to compute analytically
in this paper, two key simplifications in the quantum corrected metric are
necessary. They are lifted in a companion paper using numerical techniques,
leading to the same qualitative results.
