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The Sachdev-Ye-Kitaev (SYK) model is an interaction-only toy model for quantum chaos, holography and non-Fermi liquids. In its simplest form, Majorana fermions interact via structureless all-to-all four-body interactions. In this talk, I will demonstrate that this system belongs to one of eight (real) Altland-Zirnbauer symmetry classes set only by the number of Majorana fermions. We show that, depending on the symmetry class, the system may support exact many-body zero modes. These are manifestations of an intrinsic supersymmetry that requires no relations between couplings, in contrast to existing explicitly supersymmetric extensions of the model. The supersymmetry we uncover has a natural interpretation in terms of a one-dimensional topological phase supporting Sachdev–Ye Kitaev boundary physics and has consequences away from the ground state, including in q-body dynamical correlation functions. Finally, I will briefly talk about a dynamical protocol based on Majorana zero modes that realize SYK physics.
Undergrade at Freie Universität Berlin, PhD at the Max Planck institute for the physics of complex systems under supervision of Jens Bardarson, postdoc at the University of Cambridge, advised by Benjamin Béri. My research interests are topological phases of matter, especially transport and quantum anomalies in Weyl semimetals, the SYK model and its condensed-matter implications, and more recently non-Hermitian physics.