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) 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 theory, J. Math. Phys. 44 (2003) 5517-5529, hep-th 0306061.

T-duality

(with P Bouwknegt and V Mathai) T-duality for principal torus bundles, JHEP03 (2004) 018 (hep-th 0312284).
(with P Bouwknegt and V Mathai) T-duality for principal torus bundles and dimensionally reduced Gysin sequences Adv. Theor. Math. Phys. 9 (2005) 749-773, hep-th/0412268.
(with P Bouwknegt and V Mathai) Nonassociative tori and applications to T-duality, Commun. Mathematical Phys. 264 (2006) 41-69; DOI:10.1007/s00220-005-1501-8, hep-th/0412092.
(with P Bouwknegt and V Mathai) C*-algebras in Tensor Categories, math0702802.

Applications to Integrable systems

(with A.L. Carey and M.G. Eastwood) Riemann surfaces, Clifford algebras and infinite-dimensional groups, Commun. in Math. Phys., 154 (1993) 25-47.

Non-commutative geometry

Quantum geometry, New Scientist 1625 (1988) 52-56.
(with A.L. Carey, V. Mathai, P McCann) Quantum Hall effect on the hyperbolic plane, 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, hep-th 0108228.
(with A.L. Carey and V. Mathai) Quantum Hall effect and noncommutative geometry, 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.

and other applications of representation theory

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, (hep-th 0207268).
Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra hep-th/0412285.

Last updated 10 December 2008 by KC Hannabuss