84 citations · 84 across the 2 of their papers we have counts for
5 papers · 1 filter
T-duality for principal torus bundles and dimensionally reduced Gysin sequences
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
We reexamine the results on the global properties of T-duality for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We will then construct a Gysin…
Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra
K. C. Hannabuss
It is known that non-commutative fluids used to model the Fractional Quantum Hall effect give Calogero--Moser systems. The group-theoretic description of these as reductions of fre…
T-duality for principal torus bundles
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as t…
Boundary conformal fields and Tomita--Takesaki theory
K. C. Hannabuss, M. Semplice
Motivated by formal similarities between the continuum limit of the Ising model and the Unruh effect, this paper connects the notion of an Ishibashi state in boundary conformal fie…
Non-commutative Twistor Space
K. C. Hannabuss
It is shown that deformations of twistor space compatible with the Moyal deformation of Minkowski space-time must take the form recently suggested by Kapustin, Kuznetsov and Orlov.