9 research outputs found
Supersymmetry, shape invariance and the Legendre equations
In three space dimensions, when a physical system possesses spherical
symmetry, the dynamical equations automatically lead to the Legendre and the
associated Legendre equations, with the respective orthogonal polynomials as
their standard solutions. This is a very general and important result and
appears in many problems in physics (for example, the multipole expansion etc).
We study these equations from an operator point of view, much like the harmonic
oscillator, and show that there is an underlying shape invariance symmetry in
these systems responsible for their solubility. We bring out various
interesting features resulting from this analysis from the shape invariance
point of view.Comment: 4 pages, 1 figure; to appear in PL
Deformed BPS Monopole in Omega-background
We study the BPS condition in the -deformed super
Yang-Mills theory when one of the -parameters of the background is
zero. We obtain the deformed BPS equation for dyons and the formula for their
central charge. In particular, we find that the deformed BPS monopole equation
has axially-symmetric solution and is equivalent to the Ernst equation. The
monopole charge is shown to be undeformed. We construct one-monopole solution
explicitly and examine its profile.Comment: 13 pages, 1 figure, published versio
Existence of Dyons in Minimally Gauged Skyrme Model via Constrained Minimization
We prove the existence of electrically and magnetically charged particlelike
static solutions, known as dyons, in the minimally gauged Skyrme model
developed by Brihaye, Hartmann, and Tchrakian. The solutions are spherically
symmetric, depend on two continuous parameters, and carry unit monopole and
magnetic charges but continuous Skyrme charge and non-quantized electric charge
induced from the 't Hooft electromagnetism. The problem amounts to obtaining a
finite-energy critical point of an indefinite action functional, arising from
the presence of electricity and the Minkowski spacetime signature. The
difficulty with the absence of the Higgs field is overcome by achieving
suitable strong convergence and obtaining uniform decay estimates at singular
boundary points so that the negative sector of the action functional becomes
tractable.Comment: 24 page
The Rubakov-Callan Scattering on the Supergravity Monopole
We study small perturbations around the supersymmetric CVMN monopole solution
of the gauged supergravity in D=4. We find that the perturbation spectrum
contains an infinite tower of Coulomb-type bound states both in the bosonic and
fermionic parts of the supergravity multiplet. Due to supersymmetry, the
eigenvalues are the same for the two bosonic parity sectors, as well as for the
fermionic sector. We also find that the fermion scattering on the monopole is
accompanied by isospin flip. This is analogous to the Rubakov-Callan effect of
monopole catalysis of proton decay and suggests that there could be a similar
effect of catalysis for decay of fermionic systems in supergravity.Comment: 4 pages, 1 figur
Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
We demonstrate for the first the existence of electrically charged BPS
vortices in a Maxwell-Higgs model supplemented with a parity-odd
Lorentz-violating (LV) structure belonging to the CPT-even gauge sector of the
standard model extension and a fourth order potential (in the absence of the
Chern-Simons term). The modified first order BPS equations provide charged
vortex configurations endowed with some interesting features: localized and
controllable spatial thickness, integer flux quantization, electric field
inversion and localized magnetic flux reversion. This model could possibly be
applied on condensed matter systems which support charged vortices carrying
integer quantized magnetic flux, endowed with localized flipping of the
magnetic flux.Comment: 6 Latex 2e pages, 5 figures. To appear in Physics Letters