Paul K. Townsend

Supersymmetry of M-branes at angles

Abstract We determine the possible fractions of supersymmetry preserved by two intersecting M-5-branes. These include the fractions 3/32 and 5/32 which have not occurred previously in intersecting brane configurations. Both occur in non-orthogonal pointlike intersections of M-5-branes but 5/32 supersymmetry is possible only for specific fixed angles.

BPS bounds for worldvolume branes

The worldvolume field equations of M-branes and D-branes are known to admit p-brane soliton solutions. These solitons are shown to saturate a BPS-type bound on their p-volume tensions, which are expressed in terms of central charges that are expected to appear in the worldvolume supertranslation algebra. The cases we consider include vortices, `BIons, instantons and dyons (both abelian and non-abelian), and the string boundaries of M-2-branes in the M-5-brane.

Gauged supergravity vacua from intersecting branes

Abstract Domain wall and electrovac solutions of gauged N=4 D=4 supergravity, with gauge group SU(2) or SU(2)×SU(2), are interpreted as supersymmetric Kaluza-Klein vacua of N=1 D=10 supergravity. These vacua are shown to be the near-horizon geometries of certain intersecting brane solutions.

M-brane intersections from worldvolume superalgebras

It is known that the M-branes of M-theory correspond to p-form charges in the D=11 spacetime supersymmetry algebra. Here we show that their intersections are encoded in the p-form charges of their worldvolume supersymmetry algebras. Triple intersections are encoded in double intersection worldvolume algebras with eight supercharges.

Supersymmetric deformations of G2 manifolds from higher-order corrections to string and M-theory

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of G2 holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or M-theory. We find simple expressions for the first-order corrections to the Einstein and Killing spinor equations in terms of the calibrating 3-form of the leading-order G2-holonomy background. We thus obtain, and solve explicitly, systems of first-order equations describing the corrected metrics for most of the known classes of cohomogeneity-one 7-metrics with G2 structures.

A super-flag landau model

We consider the quantum mechanics of a particle on the coset superspace

On massive gravitons in 2+1 dimensions

SU(2|1)/[U(1)times U(1)]

On Critical Massive (Super)Gravity in adS3

, which is a super-flag manifold with

SPANISH RELATIVITY MEETING (ERE 2009)

SU(2)/U(1)cong S^2

The Hamiltonian Form of Three-Dimensional Chern-Simons-like Gravity Models

`body. By incorporating the Wess-Zumino terms associated with the