Speakers: Benjamin Solomon and Mitchell Ryan
Affiliation: University of Queensland

Abstract

The box-ball system (BBS) is a cellular automaton, and is an ultradiscrete analogue of the Kortweg-de Vries (KdV) equation (a non-linear PDE used to model water waves). The BBS has been generalised by Hikami–Inoue using Kirillov-Reshitikhin (KR) crystals for the affine general linear Lie superalgebra. We further generalise this 'supersymmetric' BBS using the KR crystals constructed by Kwon–Okado. We demonstrate solitonic behaviour of a certain class of objects in this generalised system.

About Physics Seminars

The weekly Physics Seminar series focuses on a broad range of physics research within SMP, along with frequent presentations from visiting researchers. Seminars are usually scheduled for 1.00pm on Tuesdays.

The talks are typically more specialised than a colloquium but are often attended by staff and PhD students across a broad range of areas. Speakers are thus encouraged to include introductory material in the talks.

All SMP researchers and HDR students are encouraged to speak. Please email Lewis Williamson to register your interest.

The seminars are open so there is no need to register your attendance.

Venue

Physics Annexe (06)
Room: 
407 (and via Zoom https://uqz.zoom.us/j/94116861984)