I expect to be in Cambridge most of the time in 2010. My office in the Cambridge Centre for Quantum Information and Foundations is on the ground floor of Pavilion F of the Centre for Mathematical Sciences.
I am an Associate of Perimeter Institute in Waterloo, Ontario, a Fellow of Wolfson College and also Director of Studies in Mathematics at Darwin College.
Earlier in my career I worked on conformal field theory, representation theory and integrable models. My papers on these subjects include a classification of the unitary representations of the Virasoro, Ramond and Neveu-Schwarz algebras, which uses the so-called GKO construction relating representations of the Virasoro and affine Kac-Moody algebras. Some results on the representation theory of N=2 superconformal algebras are here. An early paper on the ADHM construction in 4k dimensions is here. Here are descriptions of the singular vectors (see also here) and a recursion formula for the signature characters of highest weight representations of the Virasoro algebra; some calculations of signature characters of highest weight representations of Lie algebras are here.
Email:
A.P.A.Kent at damtp.cam.ac.uk
Mail:
Department of Applied Mathematics & Theoretical Physics
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