872 research outputs found
N=1 de Sitter Supersymmetry Algebra
Recalling the universal covering group of de Sitter, the transformation
properties of the spinor fields and , in the ambient
space notation, are presented in this paper. The charge conjugation symmetry of
the de Sitter spinor field is then discussed in the above notation. Using this
spinor field and charge conjugation, de Sitter supersymmetry algebra in the
ambient space notation has been established. It is shown that a novel
dS-superalgebra can be attained by the use of spinor field and charge
conjugation in the ambient space notation.Comment: 8 pages, LaTeX, some details adde
Scaling of Clusters and Winding Angle Statistics of Iso-height Lines in two-dimensional KPZ Surface
We investigate the statistics of Iso-height lines of (2+1)-dimensional
Kardar-Parisi-Zhang model at different level sets around the mean height in the
saturation regime. We find that the exponent describing the distribution of the
height-cluster size behaves differently for level cuts above and below the mean
height, while the fractal dimensions of the height-clusters and their
perimeters remain unchanged. The winding angle statistics also confirms again
the conformal invariance of these contour lines in the same universality class
of self-avoiding random walks (SAWs).Comment: 5 pages, 5 figure
Avalanche frontiers in dissipative abelian sandpile model as off-critical SLE(2)
Avalanche frontiers in Abelian Sandpile Model (ASM) are random simple curves
whose continuum limit is known to be a Schramm-Loewner Evolution (SLE) with
diffusivity parameter . In this paper we consider the dissipative
ASM and study the statistics of the avalanche and wave frontiers for various
rates of dissipation. We examine the scaling behavior of a number of functions
such as the correlation length, the exponent of distribution function of loop
lengths and gyration radius defined for waves and avalanches. We find that they
do scale with the rate of dissipation. Two significant length scales are
observed. For length scales much smaller than the correlation length, these
curves show properties close to the critical curves and the corresponding
diffusivity parameter is nearly the same as the critical limit. We interpret
this as the ultra violet (UV) limit where corresponding to .
For length scales much larger than the correlation length we find that the
avalanche frontiers tend to Self-Avoiding Walk, the corresponding driving
function is proportional to the Brownian motion with the diffusion parameter
corresponding to a field theory with . This is the infra
red (IR) limit. Correspondingly the central charge decreases from the IR to the
UV point.Comment: 11 Pages, 6 Figure
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