9 research outputs found
Cones, Tri-Sasakian Structures and Superconformal Invariance
In this note we show that rigid N=2 superconformal hypermultiplets must have
target manifolds which are cones over tri-Sasakian metrics. We comment on the
relation of this work to cone-branes and the AdS/CFT correspondence.Comment: 10 pages, Latex2
Single-sided domain walls in M-theory
We describe some single-sided BPS domain wall configurations in M-theory.
These are smooth non-singular resolutions of Calabi--Yau orbifolds obtained by
identifying the two sides of the wall under reflection. They may thus be
thought of as domain walls at the end of the universe. We also describe related
domain wall type solutions with a negative cosmological constant.Comment: 38 pages, LaTe
Polyhedral scattering of fundamental monopoles
The dynamics of n slowly moving fundamental monopoles in the SU(n+1) BPS Yang-Mills-Higgs theory can be approximated by geodesic motion on the 4n-dimensional hyperkahler Lee-Weinberg-Yi manifold. In this article we apply a variational method to construct some scaling geodesics on this manifold. These geodesics describe the scattering of n monopoles which lie on the vertices of a bouncing polyhedron; the polyhedron contracts from infinity to a point, representing the spherically symmetric n-monopole, and then expands back out to infinity. For different monopole masses the solutions generalize to form bouncing nested polyhedra. The relevance of these results to the dynamics of well separated SU(2) monopoles is also discussed. (C) 2003 American Institute of Physics