The generalised calibration for a wrapped membrane is gauge equivalent to the supergravity three-form under which the membrane is electrically charged. Given the relevant calibration, one can go aâ€¦ (More)

Calibration technology provides us with a fast and elegant way to find the supergravity solutions for BPS wrapped M-branes. Its true potential had however remained untapped due to the absence of aâ€¦ (More)

The present work has two goals. The first is to complete the classification of geometries in terms of torsion classes of M-branes wrapping cycles of a Calabi-Yau. The second goal is to give insightâ€¦ (More)

This thesis starts with a review of supersymmetric solutions of 11-dimensional supergravity; in particular flat M-branes and BPS configurations which can be constructed from them. The harmonicâ€¦ (More)

We find new solutions to 11-dimensional supergravity describing M5-branes wrapped on holomorphic 2-cycles embedded in C. These solutions preserve N = 1 supersymmetry in four dimensions. They are dualâ€¦ (More)

We study the geometry of M5-branes wrapping a 2-cycle which is Special Lagrangian with respect to a specific complex structure in a CalabiYau two-fold. Using methods recently applied to theâ€¦ (More)

We study one dimensional intersections of M5 branes with M5 and M2 branes. On the worldvolume of the M5-brane, such an intersection appears as a string soliton. We study this worldvolume theory inâ€¦ (More)

We characterize the geometry produced by M5-branes wrapping a Special Lagrangian 3-cycle in a Calabi-Yau 3-fold. The presence of the brane replaces the the Calabi-Yau by a real manifold with anâ€¦ (More)

We consider simple CFT models which contain massless bosons, massless fermions or a supersymmetric combination of the two, on the strip. We study the deformations of these models by relevant boundaryâ€¦ (More)

In this note we study the puzzle posed by two M5-branes intersecting on a string (or equivalently, a single M5-brane wrapping a holomorphic four-cycle in C). It has been known for a while that thisâ€¦ (More)