6,441 research outputs found
Hilbert-Samuel sequences of homogeneous finite type
This paper deals with the problem of the classification of the local graded
Artinian quotients where is an algebraically
closed field of characteristic . They have a natural invariant called
Hilbert-Samuel sequence. We say that a Hilbert-Samuel sequence is of
homogeneous finite type, if it is the Hilbert-Samuel sequence of a finite
number of isomorphism classes of graded local algebras. We give the list of all
the Hilbert-Samuel sequences of homogeneous finite type in the case of algebras
generated by elements of degree
A two-dimensional soliton system of vortex and Q-ball
The (2 + 1)-dimensional gauge model describing two complex scalar fields that
interact through a common Abelian gauge field is considered. It is shown that
the model has a soliton solution that describes a system consisting of a vortex
and a Q-ball. This two-dimensional system is electrically neutral, nevertheless
it possesses a nonzero electric field. Moreover, the soliton system has a
quantized magnetic flux and a nonzero angular momentum. Properties of this
vortex-Q-ball system are investigated by analytical and numerical methods. It
is found that the system combines properties of topological and nontopological
solitons.Comment: 7 pages with 5 figure
Multi-Instantons in Higher Dimensions and Superstring Solitons
We construct octonionic multi-instantons for the eight and seven dimensional
Yang-Mills theory. Extended soliton solutions to the low-energy heterotic field
theory equations of motion are constructed from these octonionic
multi-instantons. The solitons describe a string in ten-dimensional Minkowski
space, and preserve one and two of the sixteen space-time supersymmetries
correspondingly.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
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