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Natural sciences
- High energy physics
We propose to study Universal Structure in Quantum Gravity to better understand the rotating black holes we observe in our universe. Especially thermodynamic properties, related to the evaporation of these black holes, are still poorly understood due to expected quantum gravitational effects. We make use of the connection of black holes to low dimensional gravity where a lot of progress has been made in understanding quantum gravity. We propose methods to trace back these results to their higher dimensional origin giving valuable insights on these objects. For this, we propose to study the effect of quantum gravitational on the thermal heat bath of rotating black holes as well as the construction of effective systems describing evaporating black holes using novel techniques. This includes the investigation of the effect of wormholes on the finiteness of entanglement near the horizon. To approach these questions on a formal footing we also propose to study the universal symmetry structures present in these models. To this extent, we will calculate a bulk boundary correlator missing as a base object in the Super-Liouville theory and investigate its implications for matter in low dimensional gravity. Lastly, we investigate a connection between supersymmetric gauge theories and low dimensional quantum gravity that gives promising connections to the AGT correspondence while also functioning as a valuable tool for calculating exact results in the physical questions proposed above.