Quantum Field Theory and Operator Algebras
My interests are mainly concentrated on:
Conformal Field Theory and Representations of Loop Groups
Applications to Integrable systems
(with A.L. Carey) Temperature states on loop groups, theta functions
and the Luttinger model, J. Functional Anal., 75 (1987) 128-160.
(with A.L. Carey) Infinite-dimensional groups and Riemann surface field
theories, Commun. in Math. Phys., 176 (1996) 321-351.
(with M Semplice) Boundary conformal fields and Tomita-Takesaki
J. Math. Phys. 44 (2003) 5517-5529,
- (with A.L. Carey and M.G. Eastwood) Riemann surfaces,
Clifford algebras and infinite-dimensional groups,
Commun. in Math. Phys.,
154 (1993) 25-47.
and other applications of representation theory
Quantum geometry, New Scientist 1625 (1988) 52-56.
(with A.L. Carey, V. Mathai, P McCann) Quantum Hall effect on the hyperbolic
Commun. in Math. Phys., 190 (1998) 629-673.
(with A.L. Carey, V. Mathai) Quantum Hall effect on the hyperbolic
plane in the presence of disorder, Letters in Mathematical Physics, 58 (2001) 153-166,
- (with A.L. Carey and V. Mathai) Quantum Hall effect and
J. Geom. Symmetry Phys., 6 (2006) 16-37.
The Quantum Hall Effect, entry in the Encyclopaedia
of Mathematical Physics, ed. Francoise, Naber, Tsou, Elsevier 2006.
Field Theory Seminar
Quantum field theory of particle mixing, (Vietri)
Conference on Non-commutative geometry and the fractional quantum Hall effect, (Adelaide)
AMSI Conference: Mathematics of String Theory, (ANU, Canberra)
Newton Institute workshop: Trends in Noncommutative Geometry (slides), (Cambridge)
Categories, Logic, and the Foundations of Physics III (slides and video), (Oxford)
The electroweak interaction as a relativistic symmetry,
J.Phys. A:, 33 (2000) 1369-1373.
- (with D.C. Latimer)
Fermion mixing in quasi-free states,
J. Phys. A , 36 (2003) L69-79,
- Quantum Hall fluids, Laughlin wave functions, and ideals in
the Weyl algebra
Last updated 10 December
2008 by KC Hannabuss