Superposition induced topology changes in quantum gravity

Understand

We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology.

• We study this phenomenon in a particular limit of the LLM geometries.
• In this limit, the UV complete minisuperspace of allowed quantum states is exactly given by the Hilbert space of a free chiral boson in two dimensions.
• We construct this chiral boson purely in terms of combinatorial objects associated with the permutation group.