134 research outputs found
Skyrmions from Instantons inside Domain Walls
Some years ago, Atiyah and Manton described a method to construct approximate
Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical
realization of this construction using domain walls in a five-dimensional gauge
theory. The non-abelian gauge symmetry is broken in each vacuum but restored in
the core of the domain wall, allowing instantons to nestle inside the wall. We
show that the worldvolume dynamics of the wall is given by the Skyrme model,
including the four-derivative term, and the instantons appear as Skyrmions.Comment: 11 pages, 1 figure. v1: References added. v2: typos correcte
Walls and vortices in supersymmetric non-abelian gauge theories
We review recent results on the BPS multi-wall solutions in supersymmetric
U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the
fundamental representation. Total moduli space of the BPS non-Abelian walls is
found to be the complex Grassmann manifold SU(N_F)/[SU(N_C)xSU(N_F-N_C)xU(1)].
Exact solutions are obtained with full generic moduli for infinite gauge
coupling. A 1/4 BPS equation is also solved, giving vortices together with the
non-Abelian walls and monopoles in the Higgs phase attached to the vortices.
The full moduli space of the 1/4 BPS solutions is found to be holomorphic maps
from a complex plane to the wall moduli space.Comment: 10pages, 2figures, Contribution to the proceedings of ``NathFest'' at
PASCOS conference, Northeastern University, Boston, Ma, August 200
Ghostbusters in supergravity
supergravity is known to contain a ghost mode associated with
higher-derivative terms if it contains with greater than two.We
remove the ghost in supergravity by introducing auxiliary gauge field to
absorb the ghost. We dub this method as the ghostbuster
mechanism~\cite{Fujimori:2016udq}. We show that the mechanism removes the ghost
supermultiplet but also terms including with , after integrating
out auxiliary degrees of freedom. For pure supergravity case, there appears an
instability in the resultant scalar potential. We then show that the
instability of the scalar potential can be cured by introducing matter
couplings in such a way that the system has a stable potential.Comment: 24 pages, v2: comments, references, new section added, version
published in JHE
Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
We review our recent works on solitons in U(Nc) gauge theories with Nf (>Nc)
Higgs fields in the fundamental representation, which possess eight
supercharges. The moduli matrix is proposed as a crucial tool to exhaust all
BPS solutions, and to characterize all possible moduli parameters. Since vacua
are in the Higgs phase, we find domain walls (kinks) and vortices as the only
elementary solitons. Stable monopoles and instantons can exist as composite
solitons with vortices attached. Webs of walls are also found as another
composite soliton. The moduli space of all these elementary as well as
composite solitons are found in terms of the moduli matrix. The total moduli
space of walls is given by the complex Grassmann manifold SU(Nf)/[SU(Nc)x
SU(Nf-Nc) x U(1)] and is decomposed into various topological sectors
corresponding to boundary conditions specified by particular vacua. We found
charges characterizing composite solitons contribute negatively (either
positively or negatively) in Abelian (non-Abelian) gauge theories. Effective
Lagrangians are constructed on walls and vortices in a compact form. The power
of the moduli matrix is illustrated by an interaction rule of monopoles,
vortices, and walls, which is difficult to obtain in other methods. More
thorough description of the moduli matrix approach can be found in our review
article (hep-th/0602170).Comment: 14 pages, 9 figures, proceedings of CAQC
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