We study the symmetry-resolved entropy for two-dimensional matter systems coupled to Jackiw-Teitelboim gravity. The symmetry-resolved entropy is a measure for the internal symmetry structure of the entanglement, and it has extra information compared to the entanglement entropy regarding the quantum state. Using the replica method and gravitational path integral, we compute the symmetry-resolved entropy of a matter with global symmetry in a few examples. When the replica wormholes' contribution is dominant, we find that the symmetry-resolved entropy for large subsystems becomes negative, signaling that global charges are lost. I will discuss how these issues would be resolved if the matter has a gauge symmetry.
Zoom information:
https://illinois.zoom.us/j/88269784686?pwd=Y2NwTk1aZlM3QmxQMHRjY3RJQVhMdz09
Meeting ID: 882 6978 4686
Password: 055826
