William D. McGlinn

Professor Emeritus,
Theoretical Physics

Research Interests
Prof. McGlinn’s area of research is theoretical physics with emphasis on applications of symmetry principles. His current research interests include: (1) the structure of infinite dimensional Lie algebras (Kac-Moody and Virasoro algebras in particular) that have applications to two- dimensional phase transitions and string theory; and (2) the spin-statistics connection arising from the topology of classical configuration space.

Selected Publications:

"A Streamlined Highest Weight Derivation of the Bilinear Virasoro Centre," N. Gorman, L. O’Raifeartaigh, and W. McGlinn, Mod. Phys. Lett. A 4, 18, 1789-1796 (1989).

"Topological Spin-Statistics Theorems for Strings," A.P. Balachandran, W.D. McGlinn, L. O’Raifeartaigh, S. Sen, R.D. Sorkin, and A.M. Srivastava, Mod. Phys. Lett. A 7, 16, 1427-1442 (1992).

"Virasoro Operators for Arbitrarily Twisted Kac-Moody Algebras," M. McGettrick, N. Gorman, L. O’Raifeartaigh, and W.D. McGlinn, Int. Journ. Mod. Phys. A 7, 2547 (1992).

"The Spin-Statistics Connection from Homology Groups of Configuration Space and an Anyon Wess-Zumino Term," A.P. Balachandran, R.D. Sorkin, W.D. McGlinn, L. O’Raifeartaigh, and S. Sen, Int. Journ. Mod. Phys. A 7, 27, 6887 (1992).

"Morse Theory and the Topology of Configuration Space," W.D. McGlinn, L. O’Raifeartaigh, S. Sen, and R.D. Sorkin, Int. Journ. Mod. Phys. A, Vol. II, No. 5, 823-843 (1996).

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