933 research outputs found
A Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field Theory with central charge c=6
We study the moduli space of N=(4,4) superconformal field theories
with central charge c=6. After a slight emendation of its global description we
find the locations of various known models in the component of
associated to K3 surfaces. Among them are the Z_2 and Z_4 orbifold theories
obtained from the torus component of . Here, SO(4,4) triality is
found to play a dominant role. We obtain the B-field values in direction of the
exceptional divisors which arise from orbifolding. We prove T-duality for the
Z_2 orbifolds and use it to derive the form of purely within
conformal field theory. For the Gepner model (2)^4 and some of its orbifolds we
find the locations in and prove isomorphisms to nonlinear sigma
models. In particular we prove that the Gepner model (2)^4 has a geometric
interpretation with Fermat quartic target space.Comment: 58 pages, version submitted to Comm. Math. Phys; references added and
minor mistakes correcte
An evaluation of image feature detectors based on spatial density and temporal robustness in microsurgical image processing
Optical image processing is part of many applications used for brain surgeries. Microscope camera, or patient movement, like brain-movement through the pulse or a change in the liquor, can cause the image processing to fail. One option to compensate movement is feature detection and spatial allocation. This allocation is based on image features. The frame wise matched features are used to calculate the transformation matrix. The goal of this project was to evaluate different feature detectors based on spatial density and temporal robustness to reveal the most appropriate feature. The feature detectors included corner-, and blob-detectors and were applied on nine videos. These videos were taken during brain surgery with surgical microscopes and include the RGB channels. The evaluation showed that each detector detected up to 10 features for nine frames. The feature detector KAZE resulted in being the best feature detector in both density and robustness
A note on the (1, 1,..., 1) monopole metric
Recently K. Lee, E.J. Weinberg and P. Yi in CU-TP-739, hep-th/9602167,
calculated the asymptotic metric on the moduli space of (1, 1, ..., 1) BPS
monopoles and conjectured that it was globally exact. I lend support to this
conjecture by showing that the metric on the corresponding space of Nahm data
is the same as the metric they calculate.Comment: 12 pages, latex, no figures, uses amsmath, amsthm, amsfont
Magnetic Properties of Dilute Alloys: Equations for Magnetization and its Structural Fluctuations
The dilute Heisenberg ferromagnet is studied taking into account fluctuations
of magnetization caused by disorder. A self-consistent system of equations for
magnetization and its mean quadratic fluctuations is derived within the
configurationally averaged two-time temperature Green's function method. This
system of equations is analised at low concentration of non-magnetic
impurities. Mean relative quadratic fluctuations of magnetization are revealed
to be proportional to the square of concentration of impurities.Comment: 16 pages, LaTe
SU(2) Calorons and Magnetic Monopoles
We investigate the self-dual Yang-Mills gauge configurations on when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We
construct the explicit field configuration for a single instanton by the Nahm
method and show that an instanton is composed of two self-dual monopoles of
opposite magnetic charge. We normalize the moduli space metric of an instanton
and study various limits of the field configuration and its moduli space
metric.Comment: 17 pages, RevTex, 1 Figur
Stringy Derivation of Nahm Construction of Monopoles
We derive the Nahm construction of monopoles from exact tachyon condensation
on unstable D-branes. The Dirac operator used in the Nahm construction is
identified with the tachyon profile in our D-brane approach, and we provide
physical interpretation of the procedures Nahm gave. Crucial is the
introduction of infinite number of brane-antibranes from which arbitrary
D-brane can be constrcuted, exhibitting a unified view of various D-branes. We
explicitly show the equivalence of the D3-brane boundary state with the
monopole profile and the D1-brane boundary state with the Nahm data as
transverse scalars.Comment: 18 pages, 4 eps figures, JHEP style, comments about low energy limits
added, references adde
Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
We construct and explore BPS states that preserve 1/4 of supersymmetry in N=4
Yang-Mills theories. Such states are also realized as three-pronged strings
ending on D3-branes. We correct the electric part of the BPS equation and
relate its solutions to the unbroken abelian gauge group generators. Generic
1/4-BPS solitons are not spherically symmetric, but consist of two or more
dyonic components held apart by a delicate balance between static
electromagnetic force and scalar Higgs force. The instability previously found
in three-pronged string configurations is due to excessive repulsion by one of
these static forces. We also present an alternate construction of these 1/4-BPS
states from quantum excitations around a magnetic monopole, and build up the
supermultiplet for arbitrary (quantized) electric charge. The degeneracy and
the highest spin of the supermultiplet increase linearly with a relative
electric charge. We conclude with comments.Comment: 33 pages, two figures, LaTex, a footnote added, the figure caption of
Fig.2 expanded, one more referenc
On explicit results at the intersection of the Z_2 and Z_4 orbifold subvarieties in K3 moduli space
We examine the recently found point of intersection between the Z_2 and Z_4
orbifold subvarieties in the K3 moduli space more closely. First we give an
explicit identification of the coordinates of the respective Z_2 and Z_4
orbifold theories at this point. Secondly we construct the explicit
identification of conformal field theories at this point and show the
orthogonality of the two subvarieties.Comment: Latex, 23 page
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