205 research outputs found
The Enhancon, Multimonopoles and Fuzzy Geometry
The presentation at Strings 2000 was intended to be in two main parts, but
there was only time for part one. However both parts appeared on the online
proceedings, and are also included in this document. The first part concerns an
exploration of the connection between the physics of the `enhancon' geometry
arising from wrapping N D6-branes on the K3 manifold in Type IIA string theory
and that of a charge N BPS multi-monopole. This also relates to the physics of
2+1 dimensional SU(N) gauge theory with eight supercharges. The main results
uncovered by this exploration are: a) better insight into the non-perturbative
geometry of the enhancon; b) the structure of the moduli space geometry, and
its characterisation in terms of generalisations of an Atiyah-Hitchin-like
manifold; c) the use of Nahm data to describe aspects of the geometry, showing
that the enhancon locus itself has a description as a fuzzy sphere. Part two
discusses the addition of extra D2-branes into the geometry. Two probe
computations show the difference between the geometry as seen by D2-branes and
that seen by wrapped D6-branes, and the accompanying gauge theory
interpretations are discussed.Comment: 10 pages. Two figures. LaTeX, IJMP style. Contribution to proceedings
of Strings 2000, held at Michigan
BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
Starting from the bosonic part of N=2 Super QCD with a 'Seiberg-Witten' N=2
breaking mass term, we obtain string BPS conditions for arbitrary semi-simple
gauge groups. We show that the vacuum structure is compatible with a symmetry
breaking scheme which allows the existence of Z_k-strings and which has
Spin(10) -> SU(5) x Z_2 as a particular case. We obtain BPS Z_k-string
solutions and show that they satisfy the same first order differential
equations as the BPS string for the U(1) case. We also show that the string
tension is constant, which may cause a confining potential between monopoles
increasing linearly with their distance.Comment: 11 pages, Latex. Minor changes to the text. Final version to appear
in Phys. Rev.
Type 0 Strings in a 2-d Black Hole
We study some aspects of type 0 strings propagating in the two dimensional
black hole geometry, corresponding to the exact SL(2)/U(1) SCFT background.Comment: 33 pages, harvmac. v2: minor clarification adde
ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
We study the relationship between ADHM/Nahm construction and ``solution
generating technique'' of BPS solitons in noncommutative gauge theories.
ADHM/Nahm construction and ``solution generating technique'' are the most
strong ways to construct exact BPS solitons. Localized solitons are the
solitons which are generated by the ``solution generating technique.'' The
shift operators which play crucial roles in ``solution generating technique''
naturally appear in ADHM/Nahm construction and we can construct various exact
localized solitons including new solitons: localized periodic instantons
(=localized calorons) and localized doubly-periodic instantons. Nahm
construction also gives rise to BPS fluxons straightforwardly from the
appropriate input Nahm data which is expected from the D-brane picture of BPS
fluxons. We also show that the Fourier-transformed soliton of the localized
caloron in the zero-period limit exactly coincides with the BPS fluxon.Comment: 30 pages, LaTeX, 3 figures; v3: minor changes, references added; v4:
references added, version to appear in PR
Heat kernel and number theory on NC-torus
The heat trace asymptotics on the noncommutative torus, where generalized
Laplacians are made out of left and right regular representations, is fully
determined. It turns out that this question is very sensitive to the
number-theoretical aspect of the deformation parameters. The central condition
we use is of a Diophantine type. More generally, the importance of number
theory is made explicit on a few examples. We apply the results to the spectral
action computation and revisit the UV/IR mixing phenomenon for a scalar theory.
Although we find non-local counterterms in the NC theory on \T^4, we
show that this theory can be made renormalizable at least at one loop, and may
be even beyond
The influence of competition and species mixture on plantation-grown white spruce: Growth and foliar nutrient response after 20 years
This is the publisher’s version of a work published in The Forestry Chronicle 90:1 (2014) The version on the publisher's website can be viewed at http://pubs.cif-ifc.org/doi/abs/10.5558/tfc2014-012A 20-year-old experimental white spruce plantation was used to identify key stand (neighbourhood competition) and soil (physical and chemical properties) factors influencing spruce growth (Periodic Basal Area Increment) and foliar nutrients. Total and species-specific competition was estimated using Hegyi’s distance-dependent index for 39 individual spruce trees. Twelve trees, covering the range of total HCI (2 to 8) and aspen competition (0% to >75%), were selected for repeated (May through October) foliar sampling. Spruce PBAI declined approximately 10% for each additional unit of total HCI; species did not significantly affect this decline. Increasing aspen presence significantly influenced spruce foliar N (1.17% to 1.31%), P (0.15% to 0.23%), and K (0.68% to 0.88%), but led to declines in Ca (0.81% to 0.48%). Multiple linear regression indicated that soil carbon (partial r2 = 0.386) and available soil moisture (partial r2 = 0.131) together explained more of the variation in spruce growth than did competition factors alone (partial r2 = 0.251). The results suggest that, at this stage of stand development, precommercial thinning operations should focus on density control and inter-tree spacing, while retaining an aspen component resulting in well-spaced, free-growing mixed stands of white spruce and aspen
Vortices, Instantons and Branes
The purpose of this paper is to describe a relationship between the moduli
space of vortices and the moduli space of instantons. We study charge k
vortices in U(N) Yang-Mills-Higgs theories and show that the moduli space is
isomorphic to a special Lagrangian submanifold of the moduli space of k
instantons in non-commutative U(N) Yang-Mills theories. This submanifold is the
fixed point set of a U(1) action on the instanton moduli space which rotates
the instantons in a plane. To derive this relationship, we present a D-brane
construction in which the dynamics of vortices is described by the Higgs branch
of a U(k) gauge theory with 4 supercharges which is a truncation of the
familiar ADHM gauge theory. We further describe a moduli space construction for
semi-local vortices, lumps in the CP(N) and Grassmannian sigma-models, and
vortices on the non-commutative plane. We argue that this relationship between
vortices and instantons underlies many of the quantitative similarities shared
by quantum field theories in two and four dimensions.Comment: 32 Pages, 4 Figure
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