I am currently working on a quantum mechanical model of Majorana fermions with random interactions, this is called the SYK Model (Sachdev-Ye-Kitaev Model). What's special about this model is, that in the low energy limit where the theory is strongly coupled, its effective action has a schwarzian derivative, this derivative is also found in the action of the holographic description of J-T dilaton gravity (Jackiw-Teiteleboim).
In other words the SYK model, in the low energy limit, is dual to 2D J-T gravity.
About the picture: The picture above was taken in the summer after my postgraduation, when I went traveling across the UK. This was taken outside the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge.
My interests are not limited to this. I am also interested in the following;
- Quantum Entanglement
- Eigenstate Thermalisation Hypothesis
- Topological field Theory
- ...and many more (Talk to me)