41 research outputs found
Non-extremal Localised Branes and Vacuum Solutions in M-Theory
Non-extremal overlapping p-brane supergravity solutions localised in their
relative transverse coordinates are constructed. The construction uses an
algebraic method of solving the bosonic equations of motion. It is shown that
these non-extremal solutions can be obtained from the extremal solutions by
means of the superposition of two deformation functions defined by vacuum
solutions of M-theory. Vacuum solutions of M-theory including irrational powers
of harmonic functions are discussed.Comment: LaTeX, 16 pages, no figures, typos correcte
Generating branes via sigma-models
Starting with the D-dimensional Einstein-dilaton-antisymmetric form equations
and assuming a block-diagonal form of a metric we derive a -dimensional
-model with the target space or its non-compact form. Various solution-generating techniques are
developed and applied to construct some known and some new -brane solutions.
It is shown that the Harrison transformation belonging to the
subgroup generates black -branes from the seed Schwarzschild solution. A
fluxbrane generalizing the Bonnor-Melvin-Gibbons-Maeda solution is constructed
as well as a non-linear superposition of the fluxbrane and a spherical black
hole. A new simple way to endow branes with additional internal structure such
as plane waves is suggested. Applying the harmonic maps technique we generate
new solutions with a non-trivial shell structure in the transverse space
(`matrioshka' -branes). It is shown that the -brane intersection rules
have a simple geometric interpretation as conditions ensuring the symmetric
space property of the target space. Finally, a Bonnor-type symmetry is used to
construct a new magnetic 6-brane with a dipole moment in the ten-dimensional
IIA theory.Comment: 21 pages Late
Chaos in D0 brane dynamics
We consider the classical and quantum dynamics of D0 branes within the Yang-Mills approximation. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. Chaotic dynamics in N=2 supersymmetric Yang-Mills theory is also discussed