9 research outputs found
Monte-Carlo Simulation of Domain-Wall Network in Two-dimensional Extended Supersymmetric Theory
We will show that 2-dimensional N=2-extended supersymmetric theory can have
solitonic solution using the Hamilton-Jacobi method of classical mechanics.
Then it is shown that the Bogomol'nyi mass bound is saturated by these
solutions and triangular mass inequality is satisfied. At the end, we will
mention domain-wall structure in 3-dimensional spacetime.Comment: Talk given at International Symposium on Non-Equilibrium and
Nonlinear Dynamics in Nuclear and Other Finite Systems held at May 21-25,
2001 in Beijing. 7 pages, 4 figure
Operator ordering and Classical soliton path in Two-dimensional N=2 supersymmetry with Kahler potential
We investigate a 2-dimensional N=2 supersymmetric model which consists of n
chiral superfields with Kahler potential. When we define quantum observables,
we are always plagued by operator ordering problem. Among various ways to fix
the operator order, we rely upon the supersymmetry. We demonstrate that the
correct operator order is given by requiring the super Poincare algebra by
carrying out the canonical Dirac bracket quantization. This is shown to be also
true when the supersymmetry algebra has a central extension by the presence of
topological soliton. It is also shown that the path of soliton is a straight
line in the complex plane of superpotential W and triangular mass inequality
holds. And a half of supersymmetry is broken by the presence of soliton.Comment: 13 pages, typos correcte