I then switched to statistical mechanics. It has appeared more recently in condensed matter systems with SO(8) symmetry. The transformation I discovered there was used byWitten to establish, in a transparent way, world-sheet supersymmetry in string theory. I worked extensively on the Gross- Neveu model, discovering there the only known example of self- triality, exemplified by a theory which has three equivalent, mutually dual, representation, all with the same Lagrangian. In the earlier period, I applied it to particle physics, to find the quark-gluon coupling constant using finite-energy sum rules, and in collaboration with Witten, exact S-matrices for certain field theories. Phone: (203) 432 – 6917 Fax: (203) 432 – 6175Īpart from my graduate years spent on S-matrix theory, my interests have focused on quantum field theory in one form or another, with a weakness for exact solutions and low dimensions.
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