312 research outputs found
N=2 Sigma Model with Twisted Mass and Superpotential: Central Charges and Solitons
We consider supersymmetric sigma models on the Kahler target spaces, with
twisted mass. The Kahler spaces are assumed to have holomorphic Killing
vectors. Introduction of a superpotential of a special type is known to be
consistent with N=2 superalgebra (Alvarez-Gaume and Freedman). We show that the
algebra acquires central charges in the anticommutators {Q_L, Q_L} and {Q_R,
Q_R}. These central charges have no parallels, and they can exist only in two
dimensions. The central extension of the N=2 superalgebra we found paves the
way to a novel phenomenon -- spontaneous breaking of a part of supersymmetry.
In the general case 1/2 of supersymmetry is spontaneously broken (the vacuum
energy density is positive), while the remaining 1/2 is realized linearly. In
the model at hand the standard fermion number is not defined, so that the
Witten index as well as the Cecotti-Fendley-Intriligator-Vafa index are
useless. We show how to construct an index for counting short multiplets in
internal algebraic terms which is well-defined in spite of the absence of the
standard fermion number. Finally, we outline derivation of the quantum anomaly
in {\bar Q_L, Q_R}.Comment: 21 pages, Latex, 1 eps figure. Two important references adde
Functional Approach to Stochastic Inflation
We propose functional approach to the stochastic inflationary universe
dynamics. It is based on path integral representation of the solution to the
differential equation for the scalar field probability distribution. In the
saddle-point approximation scalar field probability distributions of various
type are derived and the statistics of the inflationary-history-dependent
functionals is developed.Comment: 20 pages, Preprint BROWN-HET-960, uses phyzz
Domain walls in supersymmetric QCD: from weak to strong coupling
We consider domain walls that appear in supersymmetric QCD with Nf < Nc
massive flavours. In particular, for 2 Nf < Nc we explicitly construct the
domain walls that interpolate between vacua labeled by i and (i+ N_f). We show
that these solutions are Bogomol'nyi-Prasad-Sommerfield (BPS) saturated for any
value of the mass of the matter fields. This fact allows us to evaluate the
large mass limit of these domain walls. We comment on the relevance of these
solutions for supersymmetric gluodynamics.Comment: 4 pages, 4 figures, LaTex, uses psfig.st
Degenerate Domain Wall Solutions in Supersymmetric Theories
A family of degenerate domain wall configurations, partially preserving
supersymmetry, is discussed in a generalized Wess-Zumino model with two scalar
superfields. We establish some general features inherent to the models with
continuously degenerate domain walls. For instance, for purely real
trajectories additional "integrals of motion" exist. The solution for the
profile of the scalar fields for any wall belonging to the family is found in
quadratures for arbitrary ratio of the coupling constants. For a special value
of this ratio the solution family is obtained explicitly in terms of elementary
functions. We also discuss the threshold amplitudes for multiparticle
production generated by these solutions. New unexpected nullifications of the
threshold amplitudes are found.Comment: 21 pages, LaTeX, 3 figures using epsf.st
Exact Results in Gauge Theories: Putting Supersymmetry to Work. The 1999 Sakurai Prize Lecture
Powerful methods based on supersymmetry allow one to find exact solutions to
certain problems in strong coupling gauge theories. The inception of some of
these methods (holomorphy in the gauge coupling and other chiral parameters, in
conjunction with instanton calculations) dates back to the 1980's. I describe
the early exact results -- the calculation of the beta function and the gluino
condensate -- and their impact on the subsequent developments. A brief
discussion of the recent breakthrough discoveries where these results play a
role is given.Comment: Based on the talk at the Centennial Meeting of The American Physical
Society, March 20-26, Atlanta, GA. LaTex (uses sprocl.sty), 36 pages, 5 eps
figures include
Comparative analysis of modern research methods biotropic effects of space weather
The possible mechanisms of the space weather influence on biological systems are discussed. Nonlinear processes of space weather influence to bio-systems are described. Based on recent theoretical models of the dynamics of the old Sun discusses cosmogeophysical influence factors on the adaptation processes and the formation of life on Earth
Indication of Anisotropy in Electromagnetic Propagation over Cosmological Distances
We report a systematic rotation of the plane of polarization of
electromagnetic radiation propagating over cosmological distances. The effect
is extracted independently from Faraday rotation, and found to be correlated
with the angular positions and distances to the sources. Monte Carlo analysis
yields probabilistic P-values of order 10^(-3) for this to occur as a
fluctuation. A fit yields a birefringence scale of order 10^(25) meters.
Dependence on redshift z rules out a local effect. Barring hidden systematic
bias in the data, the correlation indicates a new cosmological effect.Comment: 5 pages, 1 figure, ReVTeX. For more information, see
http://www.cc.rochester.edu/college/rtc/Borge/aniso.htm
More on the Tensorial Central Charges in N=1 Supersymmetric Gauge Theories (BPS Wall Junctions and Strings)
We study the central extensions of the N=1 superalgebras relevant to the
soliton solutions with the axial geometry - strings, wall junctions, etc. A
general expression valid in any four-dimensional gauge theory is obtained. We
prove that the only gauge theory admitting BPS strings at weak coupling is
supersymmetric electrodynamics with the Fayet-Iliopoulos term. The problem of
ambiguity of the (1/2,1/2) central charge in the generalized Wess-Zumino models
and gauge theories with matter is addressed and solved. A possibility of
existence of the BPS strings at strong coupling in N=2 theories is discussed. A
representation of different strings within the brane picture is presented.Comment: 26 pages, 2 figures, 1 reference added, typos corrected, Sec. 9.3
expanded. Final version accepted for publication in Phys.Rev.
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