105 citations · 494 across the 17 of their papers we have counts for
17 papers · 1 filter
Paul Dirac and the Pervasiveness of His Thinking
David I Olive
I shall use a few personal reminiscences of my time as a student and colleague of Dirac in Cambridge to introduce some reflections on the nature of research in theoretical physics.…
Charges and fluxes in Maxwell theory on compact manifolds with boundary
Marcos Alvarez, David I. Olive
We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supp…
Duality and Lorentzian Kac-Moody Algebras
David Ian Olive
A review is given of ideas in electromagnetic duality and connections to integrable field theories with soliton solutions. This leads on to a summary of recent work on Lorentzian a…
A class of Lorentzian Kac-Moody algebras
Matthias R Gaberdiel, David I Olive, Peter C West
We consider a natural generalisation of the class of hyperbolic Kac-Moody algebras. We describe in detail the conditions under which these algebras are Lorentzian. We also construc…
The Principal SO(1,2) Subalgebra of a Hyperbolic Kac Moody Algebra
H. Nicolai, D. I. Olive
The analog of the principal SO(3) subalgebra of a finite dimensional simple Lie algebra can be defined for any hyperbolic Kac Moody algebra g(A) associated with a symmetrizable Car…
The Quantisation of Charges
David I Olive
The question as to whether the integrality of the spectrum of observed electric charges is due to a quantum effext has fascinated theoretical physicists throughout the last century…
Spin and Electromagnetic Duality: An Outline
David I Olive
An outline is given of recent work concerning the electromagnetic duality properties of Maxwell theory on curved space-times with or without spin structures.
Spin and abelian electromagnetic duality on four-manifolds
David I. Olive, Marcos Alvarez
We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function…
The Dirac quantisation condition for fluxes on four-manifolds
Marcos Alvarez, David I. Olive
A systematic treatment is given of the Dirac quantisation condition for electromagnetic fluxes through two-cycles on a four-manifold space-time which can be very complicated topolo…
Exact Electromagnetic Duality
David I Olive
This talk, given at several conferences and meetings, explains the background leading to the formulation of the exact electromagnetic duality conjecture believed to be valid in N=4…
Orthogonal Decomposition of Some Affine Lie Algebras in Terms of their Heisenberg Subalgebras
L. A. Ferreira, D. I. Olive, M. V. Saveliev
In the present note we suggest an affinization of a theorem by Kostrikin et.al. about the decomposition of some complex simple Lie algebras into the algebraic sum of pai…
Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
A. Fring, P. R. Johnson, M. A. C. Kneipp +1
In a space-time of two dimensions the overall effect of the collision of two solitons is a time delay (or advance) of their final trajectories relative to their initial trajectorie…
Solitons and Vertex Operators in Twisted Affine Toda Field Theories
M. A. C. Kneipp, D. I. Olive
Affine Toda field theories in two dimensions constitute families of integrable, relativistically invariant field theories in correspondence with the affine Kac-Moody algebras. The…
A Class of String Backgrounds as a Semiclassical Limit of WZW Models
D. I. Olive, E. Rabinovici, A. Schwimmer
A class of string backgrounds associated with non semi-simple groups is obtained as a special large level limit of ordinary WZW models. The models have an integer Virasoro central…
Crossing and Antisolitons in Affine Toda Theories
Marco A. C. Kneipp, David I. Olive
Affine Toda theory is a relativistic integrable theory in two dimensions possessing solutions describing a number of different species of solitons when the coupling is chosen to be…
Affine Toda Solitons and Vertex Operators
D. I. Olive, N. Turok, J. W. R. Underwood
Affine Toda theories with imaginary couplings associate with any simple Lie algebra generalisations of Sine Gordon theory which are likewise integrable and possess solito…
On a Solitonic Specialisation for the General Solutions of Some Two-Dimensional Completely Integrable Systems
David I. Olive, Mikhail V. Saveliev, Jonathan W. R. Underwood
Following a prescription of \cite{4} for a solitonic specialization of the general solutions to the (abelian) periodic Toda field theories, we discuss a construction of the soliton…