112 research outputs found
Domain walls with non-Abelian orientational moduli
Domain walls with non-Abelian orientational moduli are constructed in U(N)
gauge theories coupled to Higgs scalar fields with degenerate masses. The
associated global symmetry is broken by the domain walls, resulting in the
Nambu-Goldstone (and quasi-Nambu-Goldstone) bosons, which form the non-Abelian
orientational moduli. As walls separate, the wave functions of the non-Abelian
orientational moduli spread between domain walls. By taking the limit of Higgs
mass differences to vanish, we clarify the convertion of wall position moduli
into the non-Abelian orientational moduli. The moduli space metric and its
Kahler potential of the effective field theory on the domain walls are
constructed. We consider two models: a U(1) gauge theory with several charged
Higgs fields, and a U(N) gauge theory with 2N Higgs fields in the fundamental
representation. More details are found in our paper published in Phys. Rev. D77
(2008) 125008 [arXiv:0802.3135 [hep-th]].Comment: contribution to the Proceedings of he 1st MCCQG conference at Crete,
sept. 2009, to appear in Journal of Physics: Conference Series of IO
Non-Abelian Walls in Supersymmetric Gauge Theories
The Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed
in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C)
hypermultiplets in the fundamental representation. Exact solutions are obtained
with full generic moduli for infinite gauge coupling and with partial moduli
for finite gauge coupling. The generic wall solutions require nontrivial
configurations for either gauge fields or off-diagonal components of adjoint
scalars depending on the gauge. Effective theories of moduli fields are
constructed as world-volume gauge theories. Nambu-Goldstone and
quasi-Nambu-Goldstone scalars are distinguished and worked out. Total moduli
space of the BPS non-Abelian walls including all topological sectors is found
to be the complex Grassmann manifold SU(N_F) / [SU(N_C) x SU(N_F-N_C) x U(1)]
endowed with a deformed metric.Comment: 62 pages, 17 figures, the final version in PR
Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
We investigate vortices on a cylinder in supersymmetric non-Abelian gauge
theory with hypermultiplets in the fundamental representation. We identify
moduli space of periodic vortices and find that a pair of wall-like objects
appears as the vortex moduli is varied. Usual domain walls also can be obtained
from the single vortex on the cylinder by introducing a twisted boundary
condition. We can understand these phenomena as a T-duality among D-brane
configurations in type II superstring theories. Using this T-duality picture,
we find a one-to-one correspondence between the moduli space of non-Abelian
vortices and that of kinky D-brane configurations for domain walls.Comment: 33 pages, 17 figures, v2: references added, typos corrected, the
final version published in PR
Instantons in the Higgs Phase
When instantons are put into the Higgs phase, vortices are attached to
instantons. We construct such composite solitons as 1/4 BPS states in
five-dimensional supersymmetric U(Nc) gauge theory with Nf(>=Nc) fundamental
hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4
BPS solutions are generated by an Nc x Nf matrix which is holomorphic in two
complex variables, assuming the vector multiplet BPS equation does not give
additional moduli. We determine the total moduli space formed by topological
sectors patched together and work out the multi-instanton solution inside a
single vortex with complete moduli. Small instanton singularities are
interpreted as small sigma-model lump singularities inside the vortex. The
relation between monopoles and instantons in the Higgs phase is also clarified
as limits of calorons in the Higgs phase. Another type of instantons stuck at
an intersection of two vortices and dyonic instantons in the Higgs phase are
also discussed.Comment: 32 pages, 6 figures, typos corrected, comments and references adde
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