782 research outputs found
Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories
An algebraic method is used to work out the mass spectra and symmetry
breaking patterns of general vacuum states in N=2 supersymmetric SU(n)
Chern-Simons-Higgs systems with the matter fields being in the adjoint
representation. The approach provides with us a natural basis for fields, which
will be useful for further studies in the self-dual solutions and quantum
corrections. As the vacuum states satisfy the SU(2) algebra, it is not
surprising to find that their spectra are closely related to that of angular
momentum addition in quantum mechanics. The analysis can be easily generalized
to other classical Lie groups.Comment: 17 pages, use revte
Mass Degeneracies In Self-Dual Models
An algebraic restriction of the nonabelian self-dual Chern-Simons-Higgs
systems leads to coupled abelian models with interesting mass spectra. The
vacua are characterized by embeddings of into the gauge algebra, and in
the broken phases the gauge and real scalar masses coincide, reflecting the
relation of these self-dual models to SUSY. The masses themselves are
related to the exponents of the gauge algebra, and the self-duality equation is
a deformation of the classical Toda equations.Comment: 10 pages LaTeX (previous copy truncated
Self-Dual Chern-Simons Theories
In these lectures I review classical aspects of the self-dual Chern-Simons
systems which describe charged scalar fields in dimensions coupled to a
gauge field whose dynamics is provided by a pure Chern-Simons Lagrangian. These
self-dual models have one realization with nonrelativistic dynamics for the
scalar fields, and another with relativistic dynamics for the scalars. In each
model, the energy density may be minimized by a Bogomol'nyi bound which is
saturated by solutions to a set of first-order self-duality equations. In the
nonrelativistic case the self-dual potential is quartic, the system possesses a
dynamical conformal symmetry, and the self-dual solutions are equivalent to the
static zero energy solutions of the equations of motion. The nonrelativistic
self-duality equations are integrable and all finite charge solutions may be
found. In the relativistic case the self-dual potential is sixth order and the
self-dual Lagrangian may be embedded in a model with an extended supersymmetry.
The self-dual potential has a rich structure of degenerate classical minima,
and the vacuum masses generated by the Chern-Simons Higgs mechanism reflect the
self-dual nature of the potential.Comment: 42 pages LaTe
The Chern-Simons Coefficient in the Higgs Phase
We study one-loop corrections to the Chern-Simons coefficient in
abelian self-dual Chern-Simons Higgs systems and their and
supersymmetric generalizations in both symmetric and asymmetric phases.
One-loop corrections to the Chern-Simons coefficient of these systems turn out
to be integer multiples of in both phases. Especially in the maximally
supersymmetric case, the correction in symmetric phase vanishes and that
in asymmetric phase is . Our results suggest that
nonabelian self-dual systems might enjoy similar features. We also discuss
various issues arising from our results.Comment: 10 pages, phyzzx macro, CU-TP-647 and SNUTP94-7
Self-DUal SU(3) Chern-Simons Higgs Systems
We explore self-dual Chern-Simons Higgs systems with the local and
global symmetries where the matter field lies in the adjoint
representation. We show that there are three degenerate vacua of different
symmetries and study the unbroken symmetry and particle spectrum in each
vacuum. We classify the self-dual configurations into three types and study
their properties.Comment: Columbia Preprint CU-TP-635, 19 page
Maxwell Chern-Simons Solitons from Type IIB String Theory
We study various three-dimensional supersymmetric Maxwell Chern-Simons
solitons by using type IIB brane configurations. We give a systematic
classification of soliton spectra such as topological BPS vortices and
nontopological vortices in supersymmetric Maxwell
Chern-Simons system via the branes of type IIB string theory. We identify the
brane configurations with the soliton spectra of the field theory and obtain a
nice agreement with field theory aspects. We also discuss possible brane
constructions for BPS domain wall solutions.Comment: 23 pages, Latex, 4 figures; (q_1,q_2)-string convention changed,
minor correction
Multiple Membranes in M-theory
We review developments in the theory of multiple, parallel membranes in
M-theory. After discussing the inherent difficulties pertaining to a maximally
supersymmetric lagrangian formulation with the appropriate field content and
symmetries, we discuss how introducing the concept of 3-algebras allows for
such a description. Different choices of 3-algebras lead to distinct classes of
2+1 dimensional theories with varying degrees of supersymmetry. We then
describe how these are equivalent to a type of conventional superconformal
Chern-Simons gauge theories at level k, coupled to bifundamental matter.
Analysing the physical properties of these theories leads to the identification
of a certain subclass of models with configurations of M2-branes in Z_k
orbifolds of M-theory. In addition these models give rise to a whole new sector
of the gauge/gravity duality in the form of an AdS_4/CFT_3 correspondence. We
also discuss mass deformations, higher derivative corrections as well as the
possibility of extracting information about M5-brane physics.Comment: 180 pages, 3 figures, Latex; v2: various typos corrected,
clarifications, references and acknowledgements added, title modified,
submitted to Physics Report
The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere
We derive the differential equation governing the asymptotic quasi-stationary
states of the two dimensional plasma immersed in a strong confining magnetic
field and of the planetary atmosphere. These two systems are related by the
property that there is an intrinsic constant length: the Larmor radius and
respectively the Rossby radius and a condensate of the vorticity field in the
unperturbed state related to the cyclotronic gyration and respectively to the
Coriolis frequency. Although the closest physical model is the
Charney-Hasegawa-Mima (CHM) equation, our model is more general and is related
to the system consisting of a discrete set of point-like vortices interacting
in plane by a short range potential. A field-theoretical formalism is developed
for describing the continuous version of this system. The action functional can
be written in the Bogomolnyi form (emphasizing the role of Self-Duality of the
asymptotic states) but the minimum energy is no more topological and the
asymptotic structures appear to be non-stationary, which is a major difference
with respect to traditional topological vortex solutions. Versions of this
field theory are discussed and we find arguments in favor of a particular form
of the equation. We comment upon the significant difference between the CHM
fluid/plasma and the Euler fluid and respectively the Abelian-Higgs vortex
models.Comment: Latex 126 pages, 7 eps figures included. Discussion on various forms
of the equatio
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