Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminars

This week's seminars

Maths HEP Lunchtime Seminars: Minisuperspace Quantum Supersymmetric Cosmology (and its Hidden Kac-Moody Structures)

Presented by Philippe Spindel, U.Mons

6 October 2017 13:00 in CM221

I describe the quantisation of the dimensional reduction to one timelike dimension of N=1, D=4 supergravity on a SU(2) group manifold, taking into account all nonlinear fermionic terms of the dynamic. The quantisation leads to a 64 dimensional Hilbert space that provides a representation of operators from which the supersymmetric and Hamiltonian constraints are built. These operators generate a representation of the maximally compact sub-algebra $K(AE_3)$ of the rank-3 Kac-Moody algebra $AE_3$. The quartic-in-fermions term of the Hamiltonian constraint presents remarkable algebraic and physical properties, one of them being a possible quantum avoidance of the cosmological singularity. Moreover a 50 dimensional subspace of the Hilbert space admit propagating solutions of the constraint equations that carry a chaotic spinorial dynamic described asymptotically by reflection operators generalising the classical Coxeter relations and defining a spinorial extension of the Weyl group of $AE_3$.

(based on arXiv : 1406.1309, Phys. Rev. D 90 (2014) 10, 103509; arXiv : 1704.08116, Phys. Rev. D 95 (2017) 12, 126011)

Contact daniele.dorigoni@durham.ac.uk or jyotirmoy.bhattacharya@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.