Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions

Physics of Atomic Nuclei - Chern–Simons gravities and gravitational Chern–Simons densities are constructed using the non-Abelian Yang–Mills Chern–Simons densities. As such,...     

A formulation of linearised gravity

The formulation of linearised gravity in terms of the electric and magnetic gravitational fields is extended to take into account the presence of matter. The modes of radiation, the equations of motion and the potential in the static case are given. The relevant components of the superenergy tensor are calculated and a quantity named the superforce is introduced.     

Self-duality in Euclidean supergravity

The compatibility of Euclidean supergravity with curvature satisfying (a) self-duality and (b) a double duality Ansatz are investigated. The Minkowskian version of (b) is also considered.     

A modified Mottola-Wipf model with sphaleron and instanton fields

We modify the Mottola-Wipf O(3) sigma model by extending it with a Skyrme term. The resulting model supports a localised instanton solution, as well as sphaleron solution in the static limit.     

Topologically Stable Lumps in SO(d) Gauged O((d+1) Sigma Models in d Dimensions: d =2,3,4

The gauge-invariant topological charge is defined for, and the inequalities supplying the lower bound on the action of an SO(4) gauged O(5) sigma model in four dimensions are established. The consistency of the solution with finiteness of the action and with topological stability is briefly verified for a particular dynamical example. Against the background of the topologically stable finite energy solitons of SO(d) gauged O(d+1) sigma models in d dimensions already known for d=2 and for d=3, the present example can be viewed as a demonstration by induction for the existence of such solitons in the case of arbitrary k.     

Spherically symmetric gauge field configurations with finite action in 4p-dimensions (p=integer)

Spherically symmetric solutions of the generalised self-duality equations introduced by the author are presented, for gauge-field systems in 4p (p = integer) dimensions. The case of p = 2 is treated in detail while p = 1 is the BPST solution.     

The existence of generalised self-dual Chern-Simons vortices

We establish the existence and uniqueness of radially symmetric self-dual topological vortices in thep=2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.Supported in part by CEC under grant HCM-ERBCHRXCT930362.Supported in part by NSF under grant DMS-9400243.     

Resonance-enhanced multiphoton ionisation photoelectron spectroscopy of the ClO radical: the C 2 sigma- state

A (2 + 1) one-colour resonance-enhanced multiphoton ionisation study is carried out on the C 2 sigma- state of the ClO radical in the one-photon energy range 29,500-31,250 cm-1. The ClO radical is produced by one-photon photolysis of ClO2 employing 359.2 nm photons derived from a separate laser. In this way a significant concentration of vibrationally excited ClO in its spin-orbit split X 2 pi omega (omega = 3/2 or 1/2) electronic ground state is produced. In addition to mass-resolved excitation spectra, kinetic-energy resolved photoelectron spectra for the X 3 sigma-(v+)<--C 2 sigma-(v' = 3-5) transitions are measured. These transitions are not completely Frank-Condon diagonal, and indicate a decrease in bond length on removal of the Rydberg electron from the C 2 sigma- state. In addition to an unambiguous assignment of the C 2 sigma- state, valuable information is obtained on the degree of vibrational excitation with which the nascent ClO radical is formed in the photolysis of ClO2. Analysis of the photoelectron spectra is supported by Franck-Condon calculations based on potential energy curves either from experimental spectroscopic parameters, or obtained by theoretical ab initio methods.     

Non-abelian solutions of <Emphasis Type="Italic">d</Emphasis>= 4 + 1 Einstein-Yang-Mills and Yang-Mills-dilaton theories

We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4 + 1 dimensions, subject to bi-azimuthal symmetry. The results are compared with similar solutions of the SU(2) Yang-Mills-dilaton model. Both particle-like and black hole solutions are considered. The text was submitted by the authors in English.