Protected Observables in Supersymmetric Theories as a Probe of Entanglement

Funder	Science and Technology Facilities Council
Recipient Organization	University of Cambridge
Country	United Kingdom
Start Date	Sep 30, 2022
End Date	Mar 30, 2026
Duration	1,277 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2750645`

Grant Description

The study of entanglement plays a central role in understanding quantum many body systems.

However, quantitative measures of entanglement such as the entanglement entropy of the groundstate are hard to compute except in the simplest systems.

Supersymmetric theories (SUSY) famously admit observables such as the Witten index which are invariant under SUSY preserving deformations and can be computed by localisation.

They also often exhibit large degeneracies and an accompanying Hilbert space of zero energy (or more generally SUSY preserving) groundstates.

In this project we will attempt to formulate and compute observables which measure the entanglement of states in this subspace.