An Uplifting Discussion of T-Duality

It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the moduli space of compactifications, it is order four in its action on the conformal field theory state space. More generally, involutions in the Weyl group $W(G)$ which act at points of enhanced $G$ symmetry have canonical lifts to order four elements of $G$, a phenomenon first investigated by J. Tits in the mathematical literature on Lie groups and generalized here to conformal field theory. This simple fact has a number of interesting consequences. One consequence is a reevaluation of a mod two condition appearing in asymmetric orbifold constructions. We also briefly discuss the implications for the idea that T-duality and its generalizations should be thought of as discrete gauge symmetries in spacetime.Comment: 47 pages, claims regarding $Z_4$ valued cocycles remove

Tension is Dimension

We propose a simple universal formula for the tension of a D-brane in terms of a regularized dimension of the associated conformal field theory statespace.Comment: 18 pages, harvmac (b), one ref added, one typo fixe

Courtroom Observation and Applied Litigation Research: A Case History of Jury Decision Making

Quantitative research has dominated applied litigation research, but it seems to lack the flexibility needed to link pretrial research to ongoing courtroom events. Participant observation is a methodology which seems more suitable for studying the dynamic environment of a trial. A 6-day civil trial is used to evaluate participant observation reports against pretrial survey analysis and trial simulations. The objective is to show how different methodological approaches converge in the frame of reference which reflects the actual verdict reached in trial