[HEG] Quantum Chaos and Fermionic 3D Gravity

Who: Elisa Tabor (UC Berkeley)
When: Wednesday, November 19, 12pm (noon)
Where: BLDG 937 Room 1006 (ITST trailer)
Title: Quantum Chaos and Fermionic 3D Gravity
Abstract: We introduce a theory of pure fermionic 3D gravity with negative cosmological constant. We compute the partition function with torus boundary for all possible spin structures. Combining modular invariance under different congruence subgroups with random matrix statistics, we construct Euclidean fermionic two-boundary wormholes, which are topologically a torus times an interval. These contain information about the spectral correlations between black hole microstates in the presence of fermions, and after analytic continuation to Lorentzian signature, they exhibit the expected late time ramp that is characteristic of random matrix universality. Finally, we generalize these wormholes to the case where the boundary CFT has various discrete symmetries. Based on upcoming work with Jan Boruch and G. Joaquin Turiaci.