The Universality of M-branes

We review the evidence for the various dualities amongst the five D=10 superstring theories and for the existence of M-theory using the associated effective supergravity theories. We also summarise the combinatorial technics developed for constructing BPS solutions in D=11 supergravity theory and conjecture that all the BPS solutions of D<11 supergravity theories can be derived from the BPS solutions of D=11 supergravity that preserve 1/2 the supersymmetry. To demonstrate this, we derive the dyonic p-brane solutions from eleven dimensions.Comment: Many changes have been made in the text and some references have been added. 8 pages, Latex, Talk at the Imperial College Workshop 5-10 Jul

On the determination of the trilinear boson couplings in e^-e^+ --> lepton anti-neutrino quark anti-quark at LEPII

We present the full tree-order calculation of the process e^+e^-\to\ell\bar{\nu}_\ell\; q \bqp including the width effects in a way which is consistent with gauge invariance and high energy unitarity and which has a natural interpretation within standard perturbation theory. We also include C- and P-preserving deviations from Standard Model trilinear vector boson couplings. An analysis of the sensitivity of these channels on the trilinear couplings, using well measured angular variables of the four fermion final state, is also presented.Comment: uuencoded file, 23 pages, February 95, references adde

The Solutions of Affine and Conformal Affine Toda Field Theories

We give new formulations of the solutions of the field equations of the affine Toda and conformal affine Toda theories on a cylinder and two-dimensional Minkowski space-time. These solutions are parameterised in terms of initial data and the resulting covariant phase spaces are diffeomorphic to the Hamiltonian ones. We derive the fundamental Poisson brackets of the parameters of the solutions and give the general static solutions for the affine theory.Comment: 11pp, phyzz

AdS Calibrations

We present a new bound for the worldvolume actions of branes with a Wess-Zumino term. For this we introduce a generalization of calibrations for which the calibration form is not closed. We then apply our construction to find the M-5-brane worldvolume solitons in an AdS background that saturate this bound. We show that these worldvolume solitons are supersymmetric and that they satisfy differential equations which generalize those of standard calibrations.Comment: 17 pages, phyzzx, some more references have been added and some minor changes have been mad