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Supersymmetry in the Standard Sachdev-Ye-Kitaev Model.

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Béri, Benjamin 

Abstract

Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground-state properties of complex quantum systems and gives relations between correlation functions. In this Letter, we show that the Sachdev-Ye-Kitaev model, in its simplest form of Majorana fermions with random four-body interactions, is supersymmetric. In contrast to existing explicitly supersymmetric extensions of the model, the supersymmetry we find requires no relations between couplings. The type of supersymmetry and the structure of the supercharges are entirely set by the number of interacting Majorana modes and are thus fundamentally linked to the model's Altland-Zirnbauer classification. 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.

Description

Keywords

cond-mat.str-el, cond-mat.str-el, cond-mat.dis-nn, hep-th

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

124

Publisher

American Physical Society (APS)

Rights

All rights reserved
Sponsorship
European Research Council (678795)