96 research outputs found
Non-Abelian Global Strings at Chiral Phase Transition
We construct non-Abelian global string solutions in the U(N)_L x U(N)_R
linear sigma model. These strings are the most fundamental objects which are
expected to form during the chiral phase transitions, because the Abelian eta'
string is marginally decomposed into N of them. We point out Nambu-Goldstone
modes of CP^{N-1} for breaking of U(N)_V arise around a non-Abelian vortex.Comment: 10 pages, 2 figure
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-integrability of Self-dual Yang-Mills-Higgs System
We examine integrability of self-dual Yang-Mills system in the Higgs phase,
with taking simpler cases of vortices and domain walls. We show that the vortex
equations and the domain-wall equations do not have Painleve property. This
fact suggests that these equations are not integrable.Comment: 15 pages, no figures, v2: references added, v3: typos corrected, the
final version to appear in NP
Stable vs Unstable Vortices in SQCD
We give a topological classification of stable and unconfined massive
particles and strings (and some instantons) in worldvolume theories of
M5-branes and their dimensional reductions, generalizing Witten's
classification of strings in SYM. In particular 4d N=2 SQCD softly broken to
N=1 contains torsion (Douglas-Shenker) Z_N-strings and nontorsion (Hanany-Tong)
Z-strings. Some of the former are stable when the flavor symmetry is gauged,
while those that are not stable confine quarks and in some vacua even dyons
into baryons. The nontorsion strings are stable if and only if all colors are
locked to flavors, which is weaker than the BPS condition. As a byproduct
unstable string decay modes and approximate lifetimes are found. Cascading
theories have no vortices stabilized by the topological charges treated here
and in particular Gubser-Herzog-Klebanov axionic strings do not carry such a
charge.Comment: 32 pages, 6 figure
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