42 research outputs found
Scaling Identities for Solitons beyond Derrick's Theorem
New integral identities satisfied by topological solitons in a range of
classical field theories are presented. They are derived by considering
independent length rescalings in orthogonal directions, or equivalently, from
the conservation of the stress tensor. These identities are refinements of
Derrick's theorem.Comment: 10 page
Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields
A particular dimensional reduction of SU(2N) Yang--Mills theory on , with a Riemann surface, yields an
gauge theory on , with a matrix Higgs field. The SU(2N) self-dual
Yang--Mills equations reduce to Bogomolny equations for vortices on .
These equations are formally integrable if is the hyperbolic plane,
and we present a subclass of solutions.Comment: 11 page
Exact Gravitational Wave Signatures from Colliding Extreme Black Holes
The low-energy dynamics of any system admitting a continuum of static
configurations is approximated by slow motion in moduli (configuration) space.
Here, following Ferrell and Eardley, this moduli space approximation is
utilized to study collisions of two maximally charged Reissner--Nordstr{\"o}m
black holes of arbitrary masses, and to compute analytically the gravitational
radiation generated by their scattering or coalescence. The motion remains slow
even though the fields are strong, and the leading radiation is quadrupolar. A
simple expression for the gravitational waveform is derived and compared at
early and late times to expectations.Comment: 6 page
One-vortex moduli space and Ricci flow
The metric on the moduli space of one abelian Higgs vortex on a surface has a
natural geometrical evolution as the Bradlow parameter, which determines the
vortex size, varies. It is shown by various arguments, and by calculations in
special cases, that this geometrical flow has many similarities to Ricci flow.Comment: 20 page