10 research outputs found
D-brane Solitons in Supersymmetric Sigma-Models
Massive D=4 N=2 supersymmetric sigma models typically admit domain wall
(Q-kink) solutions and string (Q-lump) solutions, both preserving 1/2
supersymmetry. We exhibit a new static 1/4 supersymmetric `kink-lump' solution
in which a string ends on a wall, and show that it has an effective realization
as a BIon of the D=4 super DBI-action. It is also shown to have a
time-dependent Q-kink-lump generalization which reduces to the Q-lump in a
limit corresponding to infinite BI magnetic field. All these 1/4 supersymmetric
sigma-model solitons are shown to be realized in M-theory as calibrated, or
`Q-calibrated', M5-branes in an M-monopole background.Comment: 16 pages, 3 figures, Late
Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models
The general scalar potential of D-dimensional massive sigma-models with eight
supersymmetries is found for . These sigma models typically admit 1/2
supersymmetric domain wall solutions and we find, for a particular
hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a
non-trivial intersection of two domain walls. We also show that the
intersecting domain walls can carry Noether charge while preserving 1/4
supersymmetry. We briefly discuss an application to the D1-D5 brane system.Comment: 14 pages, Latex. Various changes including the inclusion of an exact
intersecting domain wall solutio
Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
An exact solution of domain wall junction is obtained in N=2 supersymmetric
(SUSY) QED with three massive hypermultiplets. The junction preserves two out
of eight SUSY. Both a (magnetic) Fayet-Iliopoulos (FI) term and complex masses
for hypermultiplets are needed to obtain the junction solution. There are zero
modes corresponding to spontaneously broken translation, SUSY, and U(1). All
broken and unbroken SUSY charges are explicitly worked out in the Wess-Zumino
gauge in N=1 superfields as well as in components. The relation to models in
five dimensions is also clarified.Comment: 27 pages, 6 figures, comments on zero modes added, a few references
adde
BPS Domain Wall Junctions in Infinitely Large Extra Dimensions
We consider models of scalar fields coupled to gravity which are
higher-dimensional generalizations of four dimensional supergravity. We use
these models to describe domain wall junctions in an anti-de Sitter background.
We derive Bogomolnyi equations for the scalar fields from which the walls are
constructed and for the metric. From these equations a BPS-like formula for the
junction energy can be derived. We demonstrate that such junctions localize
gravity in the presence of more than one uncompactified extra dimension.Comment: 17 pages, uses RevTeX, new references adde
BPS-Saturated Walls in Supersymmetric Theories
Domain-wall solutions in four-dimensional supersymmetric field theories with
distinct discrete vacuum states lead to the spontaneous breaking of
supersymmetry, either completely or partially. We consider in detail the case
when the domain walls are the BPS-saturated states, and 1/2 of supersymmetry is
preserved. Several useful criteria that relate the preservation of 1/2 of
supersymmetry on the domain walls to the central extension appearing in the N=1
superalgebras are established. We explain how the central extension can appear
in N=1 supersymmetry and explicitly obtain the central charge in various
models: the generalized Wess-Zumino models, and supersymmetric Yang-Mills
theories with or without matter. The BPS-saturated domain walls satisfy the
first-order differential equations which we call the creek equations, since
they formally coincide with the (complexified) equations of motion of an analog
high-viscosity fluid on a profile which is given by the superpotential of the
original problem. Some possible applications are considered.Comment: Several equations are corrected, the discussion of the
two-dimensional soliton in Section 6 is modified, references are updated and
expande
D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
We investigate the D0-D4-brane system for different B-field backgrounds
including the small instanton singularity in noncommutative SYM theory. We
discuss the excitation spectrum of the unstable state as well as for the BPS
D0-D4 bound state. We compute the tachyon potential which reproduces the
complete mass defect. The relevant degrees of freedom are the massless (4,4)
strings. Both results are in contrast with existing string field theory
calculations. The excitation spectrum of the small instanton is found to be
equal to the excitation spectrum of the fluxon solution on R^2_theta x R which
we trace back to T-duality. For the effective theory of the (0,0) string
excitations we obtain a BFSS matrix model. The number of states in the
instanton background changes significantly when the B-field becomes self-dual.
This leads us to the proposal of the existence of a phase transition or cross
over at self-dual B-field.Comment: a4 11pt Latex2e 40 pages; v2: typos fixed, refined comments on
renormalisation, refs added, v3: ref added, version publishe
A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
We study the spectrum of BPS domain walls within the parameter space of N=1
U(N) gauge theories with adjoint matter and a cubic superpotential. Using a low
energy description obtained by compactifying the theory on R^3 x S^1, we
examine the wall spectrum by combining direct calculations at special points in
the parameter space with insight drawn from the leading order potential between
minimal walls, i.e those interpolating between adjacent vacua. We show that the
multiplicity of composite BPS walls -- as characterised by the CFIV index --
exhibits discontinuities on marginal stability curves within the parameter
space of the maximally confining branch. The structure of these marginal
stability curves for large N appears tied to certain singularities within the
matrix model description of the confining vacua.Comment: 33 pages, LaTeX, 6 eps figures; v2: references adde
Gravity localization with a domain wall junction in six dimensions
We study gravity localization in the context of a six-dimensional gravity
model coupled with complex scalar fields. With a supergravity-motivated scalar
potential, we show that the domain wall junction solutions localize a
four-dimensional massless graviton under an assumption on the wall profile. We
find that unlike the global supersymmetric model, contributions to the junction
tension cancel locally with gravitational contributions. The wall tension
vanishes due to the metric suppression.Comment: Latex, 13 pages, a paragraph and references added, typos correcte