The University of Queensland
Department of Mathematics

Mathematical Physics Seminar

Nonlinear (Super)symmetries

Dr Peter Jarvis
University of Tasmina
 

Thursday, October 3, 2pm
Room 641, Priestley (Mathematics) Building

Abstract

Many of the standard symmetries and transformation groups underlying solvable quantum systems are based on one- and two-body operators. The search for generalised invariance principles leads ineluctably to multibody operators and nonlinearly closing algebraic structures. In this talk we describe an approach to such deformations, for superalgebras of 'type I'. This will be motivated in the context of hamiltonian lattic QCD, where a putative supersymmetry between baryon and meson states emerges via polynomial superalgebras of gauge invariant observables. Specific examples (via concrete oscillator constructions), some general structure results and prospects for typical and atypical irreducible representations, as well as wider ramifications of the work will presented.
 
 

All interested are invited to attend.

Enquires to Yao-Zhong Zhang on 3365 2309 or yzz@maths.uq.edu.au