Constraints on Quantum Gravity

Although predictions of quantum gravity are typically at extremely high energy, over the last decades several non-trivial constraints on its low energy effective theory have been found. I will start by explaining why the unification of general relativity and quantum mechanics has been difficult. After introducing the holographic principle as our guide to the unification, I will discuss its use in finding constraints on symmetry in quantum gravity. I will also discuss other conjectures on low energy effective theories, collectively called swampland conditions, and their consequences.