We obtain a BPS soliton of the M theory fivebrane's equations of motion representing a supersymmetric self-dual string. The resulting solution is then dimensionally reduced and used to obtain 0-braneâ€¦ (More)

The component form of the equations of motion for the 5-brane in eleven-dimensions is derived from the superspace equations. These equations are fully covariant in six-dimensions. It is shown thatâ€¦ (More)

We discuss the dimensional reduction of various effective actions, particularly that of the closed Bosonic string and pure gravity, to two and three dimensions. The result for the closed Bosonicâ€¦ (More)

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 construct their fundamentalâ€¦ (More)

We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1, 10) connection. In elevenâ€¦ (More)

The vebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a vebrane whose worldvolume is wrapped around a Riemann surface. Byâ€¦ (More)

We study the BPS states of the M-fivebrane which correspond to monopoles of N = 2 SU(2) gauge theory. Far away from the centres of the monopoles these states may be viewed as solitons in theâ€¦ (More)

After dimensional reduction to three dimensions, the lowest order effective actions for pure gravity, M-theory and the Bosonic string admit an enhanced symmetry group. In this paper we initiate studyâ€¦ (More)

We construct the energy momentum tensor for the bosonic fields of the covariant formulation of the M-theory fivebrane within that formalism. We then obtain the energy for various solitonic solutionsâ€¦ (More)

We construct a covariant bound on the energy-momentum of the Mfivebrane which is saturated by all supersymmetric configurations. This leads to a generalised notion of a calibrated geometry forâ€¦ (More)