We derive anomaly constraints for Abelian and non-Abelian discrete symmetries using the path integral approach. We survey anomalies of discrete symmetries in heterotic orbifolds and find a new relation between such anomalies and the so-called 'anomalous' U(1).
String theory is known to be one of the most promising candidates for a unified description of all elementary particles and their interactions. Starting from the ten-dimensional heterotic string, we study its compactification on six-dimensional orbifolds. We clarify some important technical aspects of their construction and introduce new parameters, called… (More)
In this study, we propose a method to implement PC cluster systems on a non-open source of the commodity OS. For this purpose, we also introduce an implementation of a Distributed Shared memory utilizing a Distributed file system and a Memory Mapped File without modifying OS. We have designed and implemented a single DFS, by using a high-speed network… (More)
The anomaly of a discrete symmetry is defined as the Jacobian of the path-integral measure. Assuming that the anomaly at low energies is cancelled by the Green-Schwarz (GS) mechanism at a fundamental scale, we investigate possible Kac-Moody levels for anomalous discrete family symmetries. As the first example, we consider discrete abelian baryon number and… (More)