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 ${\bf Z_N}\times {\bf Z_M}$ type IIB orientifolds, for certain values of $N$ and $M$. 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