A lattice formulation of N=2 supersymmetric SYK model
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
TL;DR
This paper develops a lattice version of the N=2 supersymmetric SYK model, successfully implementing one supersymmetry exactly through the cyclic Leibniz rule, advancing non-perturbative studies of supersymmetric quantum mechanics.
Contribution
It introduces a lattice formulation of the N=2 supersymmetric SYK model with exact supersymmetry using the cyclic Leibniz rule, enabling non-perturbative analysis.
Findings
Exact realization of one nilpotent supersymmetry on the lattice.
Construction of the N=2 supersymmetric SYK model in Euclidean time.
Foundation for future non-perturbative studies of supersymmetric models.
Abstract
We construct N=2 supersymmetric SYK model on one-dimensional (euclidean time) lattice. One nilpotent supersymmetry is exactly realized on the lattice in use of the cyclic Leibniz rule (CLR).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.