7,800 research outputs found
Scaling Self-Similar Formulation of the String Equations of the Hermitian Matrix Model
The string equation appearing in the double scaling limit of the Hermitian
one--matrix model, which corresponds to a Galilean self--similar condition for
the KdV hierarchy, is reformulated as a scaling self--similar condition for the
Ur--KdV hierarchy. A non--scaling limit analysis of the one--matrix model has
led to the complexified NLS hierarchy and a string equation. We show that this
corresponds to the Galilean self--similarity condition for the AKNS hierarchy
and also its equivalence to a scaling self--similar condition for the
Heisenberg ferromagnet hierarchy.Comment: 12 pages in AMS-LaTeX, AMS-LaTeXable versio
Extra States and Symmetries in D<2 Closed String Theory
We show that there is (p-1)(p'-1) dimensional semi-relative BRST cohomology
at each non-positive ghost number in the (p,p') minimal conformal field theory
coupled to two dimensional quantum gravity. These closed string states are
related to currents and symmetry charges of `exotic' ghost number. We
investigate the symmetry structure generated by the most conventional currents
(those of vanishing total ghost number), and make a conjecture about the
extended algebra which results from incorporating the currents at negative
ghost number.Comment: 15 page
Glimpses of Oregon’s Sea Otters
Sea otters are an iconic species in the history of what is now known as Oregon. Their pelts brought great wealth in late eighteenth and nineteenth century China, motivating some of Oregon’s earliest exploration, trade, and contact between Native American and Euro-American people. Over time, hunting eliminated the species from Oregon’s coastal waters. This article provides a broad introduction to the history of Oregon’s now-extinct sea otter population, describing the emergence of the Chinese market that created and sustained the hunt, the British discovery of profits to be made by trading for the pelts, and the rise of American traders. This historical information is placed within the context of sea otter ecology and provides estimates of Oregon’s sea otter population on the eve of the maritime fur trade
Integrable Discrete Linear Systems and One-Matrix Model
In this paper we analyze one-matrix models by means of the associated
discrete linear systems. We see that the consistency conditions of the discrete
linear system lead to the Virasoro constraints. The linear system is endowed
with gauge invariances. We show that invariance under time-independent gauge
transformations entails the integrability of the model, while the double
scaling limit is connected with a time-dependent gauge transformation. We
derive the continuum version of the discrete linear system, we prove that the
partition function is actually the -function of the KdV hierarchy and
that the linear system completely determines the Virasoro constraints.Comment: 31page
On D0-branes in Gepner models
We show why and when D0-branes at the Gepner point of Calabi-Yau manifolds
given as Fermat hypersurfaces exist.Comment: 22 pages, substantial improvements in sections 2 and 3, references
added, version to be publishe
The Mountain of a Thousand Holes: Shipwreck Traditions and Treasure Hunting on Oregon\u27s North Coast
“Euro-Americans in coastal communities conflated and amplified Native American oral traditions of shipwrecks in Tillamook County, increasingly focusing on buried treasure,” write authors Cameron La Follette, Dennis Griffin and Douglas Deur. In this article, the authors trace the Euro-American blending of Native oral tradition with romances and adventure tales that helped create the “legends contributing to Neahkahnie [Mountain]\u27s reputation as Oregon\u27s treasure-seeking haven.” They also examine the history of treasure-seeking in the area and describe the escalating conflict between Oregon\u27s treasure-hunting statute and cultural resources protection laws, which led finally to statutory repeal that ended all treasure-hunting on state lands. While treasure hunting is no longer allowed in Oswald West State Park where Neahkahnie Mountain is located, the “Beeswax Wreck” lore continues to fascinate visitors to the north Oregon coast
The Galleon Cargo: Accounts in the Colonial Archives
Much of the debris that has washed up on the shores of the northern Oregon coast for centuries were mainstays of Spanish trade carried as cargo across the world on Manila galleons. Both Native people and Euro-Americans have recovered large beeswax chunks, lending to the lore of the “Beeswax Wreck,” as well as Chinese blue-and-white porcelain fragments. In this article, Cameron La Follette and Douglas Deur describe research findings about cargo on the Santo Cristo de Burgos and similar Manila galleons, including the San Francisco Xavier of 1705, the previous favored candidate for the Oregon wreck. La Follette and Deur located probable matches for the shippers\u27 identities of four shipper\u27s marks found on Oregon beeswax chunks. According to La Follette and Deur, “in addition to trade goods, the Santo Cristo de Burgos carried a cargo of liquid mercury,” which was essential for refining silver ore from South American mines used to make coins that fueled the Spanish empire and the Manila trade itself. The article contains a partial cargo list for the 1693 Santo Cristo de Burgos voyage and a special digital appendix with the full cargo manifest for the 1701 San Francisco Xavier
D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy
We study D-branes on smooth noncompact toric Calabi-Yau manifolds that are
resolutions of abelian orbifold singularities. Such a space has a distinguished
basis {S_i} for the compactly supported K-theory. Using local mirror symmetry
we demonstrate that the S_i have simple transformation properties under
monodromy; in particular, they are the objects that generate monodromy around
the principal component of the discriminant locus. One of our examples, the
toric resolution of C^3/(Z_2 x Z_2), is a three parameter model for which we
are able to give an explicit solution of the GKZ system.Comment: 40 pp, substantial revision
W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies
Using the zero-curvature formulation, it is shown that W-algebra
transformations are symmetries of corresponding generalised Drinfel'd-Sokolov
hierarchies. This result is illustrated with the examples of the KdV and
Boussinesque hierarchies, and the hierarchy associated to the
Polyakov-Bershadsky W-algebra.Comment: 13 page
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