302 research outputs found
Product Integrals and Wilson loops
Using product integrals we review the unambiguous mathematical representation
of Wilson line and Wilson loop operators, including their behavior under gauge
transformations and the non-abelian Stokes theorem. Interesting consistency
conditions among Wilson lines are also presented.Comment: 3 pages LaTeX. Write-up of talk at DPF2000, Columbus, OH, August 11,
200
Derived autoequivalences and a weighted Beilinson resolution
Given a smooth stacky Calabi-Yau hypersurface X in a weighted projective
space, we consider the functor G which is the composition of the following two
autoequivalences of D^b(X): the first one is induced by the spherical object
O_X, while the second one is tensoring with O_X(1). The main result of the
paper is that the composition of G with itself w times, where w is the sum of
the weights of the weighted projective space, is isomorphic to the
autoequivalence "shift by 2". The proof also involves the construction of a
Beilinson type resolution of the diagonal for weighted projective spaces,
viewed as smooth stacks.Comment: 19 pages; minor modifications; accepted by J. Geom. Phy
Type IIB orientifolds with discrete torsion
We consider compact four-dimensional type IIB
orientifolds, for certain values of and . We allow the additional
feature of discrete torsion and discuss the modification of the consistency
conditions arising from tadpole cancellation. We point out the differences
between the cases with and without discrete torsion.Comment: 4 pages LaTeX. Write-up of talk at DPF2000, Columbus, OH, August 10,
2000. References adde
Field to Family Community Food Project
Community-supported agriculture (CSA) is a local food system in which farmers provide fresh food, fiber, and related products directly to the consumers in their area. The Field to Family Community Food Project began in 1997 and was intended to support the Magic Beanstalk CSA project by forming partnerships with other local organizations such as churches, social service organizations, Iowa State University, and other community groups
Product Integral Formalism and Non-Abelian Stokes Theorem
We make use of the properties of product integrals to obtain a surface
product integral representation for the Wilson loop operator. The result can be
interpreted as the non-abelian version of Stokes' theorem.Comment: Latex; condensed version of hep-th/9903221, to appear in Jour. Math.
Phy
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