1,360 research outputs found
Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
We study non-Abelian solitons of the Bogomol'nyi type in N=2 (d=2+1)
supersymmetric Chern-Simons (CS) and Yang-Mills (YM) theory with a generic
gauge group. In CS theory, we find topological, non-topological and semi-local
(non-)topological vortices of non-Abelian kinds in unbroken, broken and
partially broken vacua. We calculate the number of zero-modes using an index
theorem and then we apply the moduli matrix formalism to realize the moduli
parameters. For the topological solitons we exhaust all the moduli while we
study several examples of the non-topological and semi-local solitons. We find
that the zero-modes of the topological solitons are governed by the moduli
matrix H_0 only and those of the non-topological solitons are governed by both
H_0 and the gauge invariant field \Omega. We prove local uniqueness of the
master equation in the YM case and finally, compare all results between the CS
and YM theories.Comment: 54 pages, 1 figur
Vortices on Orbifolds
The Abelian and non-Abelian vortices on orbifolds are investigated based on
the moduli matrix approach, which is a powerful method to deal with the BPS
equation. The moduli space and the vortex collision are discussed through the
moduli matrix as well as the regular space. It is also shown that a quiver
structure is found in the Kahler quotient, and a half of ADHM is obtained for
the vortex theory on the orbifolds as the case before orbifolding.Comment: 25 pages, 4 figures; references adde
Solitons in Supersymmety Breaking Meta-Stable Vacua
In recently found supersymmetry-breaking meta-stable vacua of the
supersymmetric QCD, we examine possible exsitence of solitons. Homotopy groups
of the moduli space of the meta-stable vacua show that there is no nontrivial
soliton for SU(N_c) gauge group. When U(1)_B symmetry present in the theory is
gauged, we find non-BPS solitonic (vortex) strings whose existence and
properties are predicted from brane configurations. We obtain explicit
classical solutions which reproduce the predicitions. For SO(N_c) gauge group,
we find there are solitonic strings for N = N_f-N_c+4 = 2, and Z_2 strings for
the other N. The strings are meta-stable as they live in the meta-stable vacua.Comment: 30 pages, 14 figures, Comments on stability of non-BPS vortices are
added, Comments on sigma model solitons are added, An appendix is adde
Vortex counting from field theory
The vortex partition function in 2d N = (2,2) U(N) gauge theory is derived
from the field theoretical point of view by using the moduli matrix approach.
The character for the tangent space at each moduli space fixed point is written
in terms of the moduli matrix, and then the vortex partition function is
obtained by applying the localization formula. We find that dealing with the
fermionic zero modes is crucial to obtain the vortex partition function with
the anti-fundamental and adjoint matters in addition to the fundamental chiral
multiplets. The orbifold vortex partition function is also investigated from
the field theoretical point of view.Comment: 21 pages, no figure
Unfair competition governs the interaction of pCPI-17 with myosin phosphatase (PP1-MYPT1).
The small phosphoprotein pCPI-17 inhibits myosin light-chain phosphatase (MLCP). Current models postulate that during muscle relaxation, phosphatases other than MLCP dephosphorylate and inactivate pCPI-17 to restore MLCP activity. We show here that such hypotheses are insufficient to account for the observed rapidity of pCPI-17 inactivation in mammalian smooth muscles. Instead, MLCP itself is the critical enzyme for pCPI-17 dephosphorylation. We call the mutual sequestration mechanism through which pCPI-17 and MLCP interact inhibition by unfair competition: MLCP protects pCPI-17 from other phosphatases, while pCPI-17 blocks other substrates from MLCP\u27s active site. MLCP dephosphorylates pCPI-17 at a slow rate that is, nonetheless, both sufficient and necessary to explain the speed of pCPI-17 dephosphorylation and the consequent MLCP activation during muscle relaxation
QCD String as Vortex String in Seiberg-Dual Theory
We construct a classical vortex string solution in a Seiberg-dual theory of
N=1 supersymmetric SO(N_c) QCD which flows to a confining phase. We claim that
this vortex string is a QCD string, as previouly argued by M.Strassler. In
SO(N_c) QCD, it is known that stable QCD strings exist even in the presence of
dynamical quarks. We show that our vortex strings are stable in the
Seiberg-dual theory.Comment: 15 pages, 1 figur
Spin splitting and Kondo effect in quantum dots coupled to noncollinear ferromagnetic leads
We study the Kondo effect in a quantum dot coupled to two noncollinear
ferromagnetic leads. First, we study the spin splitting
of an energy level
in the quantum dot by tunnel couplings to the ferromagnetic leads, using the
Poor man's scaling method. The spin splitting takes place in an intermediate
direction between magnetic moments in the two leads. , where is the spin
polarization in the leads, is the angle between the magnetic moments,
and is an asymmetric factor of tunnel barriers (). Hence the spin
splitting is always maximal in the parallel alignment of two ferromagnets
() and minimal in the antiparallel alignment (). Second,
we calculate the Kondo temperature . The scaling calculation
yields an analytical expression of as a function of
and , , when .
is a decreasing function with respect to
. When is
relevant, we evaluate using the
slave-boson mean-field theory. The Kondo resonance is split into two by finite
, which results in the spin accumulation in the quantum dot and
suppression of the Kondo effect.Comment: 11 pages, 8 figures, revised versio
Resonant tunneling and Fano resonance in quantum dots with electron-phonon interaction
We theoretically study the resonant tunneling and Fano resonance in quantum
dots with electron-phonon (e-ph) interaction. We examine the bias-voltage ()
dependence of the decoherence, using Keldysh Green function method and
perturbation with respect to the e-ph interaction. With optical phonons of
energy , only the elastic process takes place when , in
which electrons emit and absorb phonons virtually. The process suppresses the
resonant amplitude. When , the inelastic process is possible which
is accompanied by real emission of phonons. It results in the dephasing and
broadens the resonant width. The bias-voltage dependence of the decoherence
cannot be obtained by the canonical transformation method to consider the e-ph
interaction if its effect on the tunnel coupling is neglected. With acoustic
phonons, the asymmetric shape of the Fano resonance grows like a symmetric one
as the bias voltage increases, in qualitative accordance with experimental
results.Comment: 28 pages, 11 figure
Scaling analysis of Kondo screening cloud in a mesoscopic ring with an embedded quantum dot
The Kondo effect is theoretically studied in a quantum dot embedded in a
mesoscopic ring. The ring is connected to two external leads, which enables the
transport measurement. Using the "poor man's" scaling method, we obtain
analytical expressions of the Kondo temperature T_K as a function of the
Aharonov-Bohm phase \phi by the magnetic flux penetrating the ring. In this
Kondo problem, there are two characteristic lengths. One is the screening
length of the charge fluctuation, L_c=\hbar v_F/ |\epsilon_0|, where v_F is the
Fermi velocity and \epsilon_0 is the energy level in the quantum dot. The other
is the screening length of spin fluctuation, i.e., size of Kondo screening
cloud, L_K=\hbar v_F/ T_K. We obtain different expressions of T_K(\phi) for (i)
L_c \ll L_K \ll L, (ii) L_c \ll L \ll L_K, and (iii) L \ll L_c \ll L_K, where L
is the size of the ring. T_K is markedly modulated by \phi in cases (ii) and
(iii), whereas it hardly depends on \phi in case (i). We also derive
logarithmic corrections to the conductance at temperature T\gg T_K and an
analytical expression of the conductance at T\ll T_K, on the basis of the
scaling analysis.Comment: 21pages, 10 figure
Are "EIT Waves" Fast-Mode MHD Waves?
We examine the nature of large-scale, coronal, propagating wave fronts (``EIT
waves'') and find they are incongruous with solutions using fast-mode MHD
plane-wave theory. Specifically, we consider the following properties:
non-dispersive single pulse manifestions, observed velocities below the local
Alfven speed, and different pulses which travel at any number of constant
velocities, rather than at the ``predicted'' fast-mode speed. We discuss the
possibility of a soliton-like explanation for these phenomena, and show how it
is consistent with the above-mentioned aspects.Comment: to be published in the Astrophysical Journa
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