Orientifolds of Gepner Models

We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.Comment: 142 page

Coronary artery imaging by magnetic resonance.

Non-invasive visualization of the coronary arteries represents a major challenge in modern cardiology, but this goal may be achieved in the near future by MR angiography. Possible applications are non-invasive diagnosis of coronary artery disease, and follow-up examinations for therapy control after PTCA, in order to detect restenosis at an early stage. A multiple slice technique (2 mm slice thickness, with a spatial resolution of 1 x 1 mm, Philips Gyroscan ACS-II, 1.5 Tesla) was used. Ten volunteers were imaged and 10 patients with coronary artery disease were examined before and after PTCA. MR measurements were validated by quantitative coronary angiography. The diameters of the proximal coronary arteries as measured by both methods were compared, and a good correlation was found (r = 0.76). Thus, it is concluded that non-invasive visualization of the coronary arteries is possible before and after PTCA and allows to determine potential restenoses. However, patient cooperation is essential for good image quality. Moreover, limited spatial image resolution and breathing artifacts restrict MR coronary angiography today to be used as a routine diagnostic tool for the diagnosis of coronary artery disease

Toward high-resolution myocardial tagging.

Magnetic resonance imaging with preceding tissue tagging is a robust method for assessing cardiac motion of the entire heartbeat cycle with a high degree of accuracy. One limitation of this technique, however, is the low resolution of the obtained displacement map of the labeled points within the myocardium. By a new tagging technique, which is based on the combination of two or more measurements of the same slice but with different grid positions, a highly improved resolution of cardiac motion data can be achieved. In combination with a multi-heart-phase echo-planar imaging sequence, such images with doubled grid frequency can be acquired in two short breath-hold periods