Keith Hannabuss
Quantum Field Theory and Operator Algebras
My interests are mainly concentrated on:
Conformal Field Theory and Representations of Loop Groups

(with A.L. Carey) Temperature states on loop groups, theta functions
and the Luttinger model, J. Functional Anal., 75 (1987) 128160.

(with A.L. Carey) Infinitedimensional groups and Riemann surface field
theories, Commun. in Math. Phys., 176 (1996) 321351.

(with M Semplice) Boundary conformal fields and TomitaTakesaki
theory,
J. Math. Phys. 44 (2003) 55175529,
hepth 0306061.
Tduality
Applications to Integrable systems
 (with A.L. Carey and M.G. Eastwood) Riemann surfaces,
Clifford algebras and infinitedimensional groups,
Commun. in Math. Phys.,
154 (1993) 2547.
Noncommutative geometry

Quantum geometry, New Scientist 1625 (1988) 5256.

(with A.L. Carey, V. Mathai, P McCann) Quantum Hall effect on the hyperbolic
plane,
Commun. in Math. Phys., 190 (1998) 629673.

(with A.L. Carey, V. Mathai) Quantum Hall effect on the hyperbolic
plane in the presence of disorder, Letters in Mathematical Physics, 58 (2001) 153166,
hepth 0108228.
 (with A.L. Carey and V. Mathai) Quantum Hall effect and
noncommutative geometry,
J. Geom. Symmetry Phys., 6 (2006) 1637.

The Quantum Hall Effect, entry in the Encyclopaedia
of Mathematical Physics, ed. Francoise, Naber, Tsou, Elsevier 2006.
and other applications of representation theory

The electroweak interaction as a relativistic symmetry,
J.Phys. A:, 33 (2000) 13691373.
 (with D.C. Latimer)
Fermion mixing in quasifree states,
J. Phys. A , 36 (2003) L6979,
(hepth 0207268).
 Quantum Hall fluids, Laughlin wave functions, and ideals in
the Weyl algebra
hepth/0412285.
Quantum
Field Theory Seminar
International Workshop:
Quantum field theory of particle mixing, (Vietri)
Conference on Noncommutative 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)
Last updated 10 December
2008 by KC Hannabuss