Towards AdS Distances in String Theory

Understand

The AdS Distance Conjecture proposes to assign a notion of distance between AdS vacua in quantum gravity.

• We perform some initial developments of this idea.
• We first propose more sharply how to define a metric on conformal variations of AdS through the action.
• This metric is negative, making the distance ill-defined, a property relating to the famous conformal factor problem of quantum gravity.