18 citations · 33 across the 3 of their papers we have counts for
5 papers
Non-Commutative Time, the Quantum Hall Effect and Twistor Theory
Dana Mihai, George Sparling, Philip Tillman
It is proposed that Maxwell theory, with a topological term, in four non-commutative dimensions, where the co-ordinates obey the Heisenberg algebra, is an umbrella theory for the d…
A primordial theory
George Sparling, Philip Tillman
We review the twistor approach to the Zhang-Hu theory of the four-dimensional Quantum Hall effect. We point out the key role played by the group Spin(4,4), as the symmetry group of…
Twistor theory and the four-dimensional Quantum Hall effect of Zhang and Hu
George Sparling
The construction by Zhang and Hu of a four-dimensional analogue of the Quantum Hall effect is generalized and recast as a purely geometrical theory, using the languages of Lie grou…
On the Classical Solutions of the Perturbed, Massless Wave Equation with Singular Potential
Ashwin Vaidya, George Sparling
This paper discusses the solutions to the perturbed wave equation containing a singular potential term in the Lorentzian metric. We present the classical solution to the problem us…
Conformally invariant powers of the ambient Dirac operator
Jonathan Holland, George Sparling
This paper constructs a family of conformally invariant differential operators acting on spinor densities with leading part a power of the Dirac operator. The construction applies…