Density matrix embedding theory (DMET) describes finite fragments in the presence of a surrounding environment. In contrast to most embedding methods, DMET explicitly allows for quantum entanglement between both. In this chapter, we discuss both the ground-state and response theory formulations of DMET, and review several applications. In addition, a proof is given that the local density of sta...

BPS saturated p-branes play an important role in recent progress in understanding superstring theory and M theory. One approach to understanding the dynamics of p-branes is to formulate an effective (p+1)-dimensional world-volume theory. The construction of such brane actions involves a number of interesting issues. One such issue is how to formulate the action for theories that contain chiral ...

The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace formula for calculating probabilities). In this paper it is shown that quantum theory can be derived from five very reasonable axioms. The first four of these axioms are obviously consistent with both quantum theory and classical probability theory. Axi...

We construct vacua of heterotic M–theory with general gauge bundles and five–branes. Some aspects of the resulting low–energy effective theories are discussed. M–theory on the orbifold S/Z2 is believed to describe the strong coupling limit of the E8 × E8 heterotic string [1] and, therefore, constitutes a particularly interesting starting point for M–theory particle phenomenology. At low energy,...

Seligman recently introduced the PERMA model with five core elements of psychological well-being: positive emotions, engagement, relationships, meaning, and accomplishment. We empirically tested this multidimensional theory with 516 Australian male students (age 13-18). From an extensive well-being assessment, we selected a subset of items theoretically relevant to PERMA. Factor analyses recove...

On the world-volume of an M -theory five-brane propagates a two-form with selfdual field strength. As this field is non-Lagrangian, there is no obvious framework for determining its partition function. An analogous problem exists in Type IIB superstring theory for the self-dual five-form. The resolution of these problems and definition of the partition function is explained. A more complete ana...

Lectures delivered at the 17th National Nuclear Physics Summer School 2005, Berkeley, June 6-17, 2005.

One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let  be a finite group. We denote by  the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if  is a group with  an...

We derive the five–dimensional effective action of strongly coupled heterotic string theory for the complete (1, 1) sector of the theory by performing a reduction, on a Calabi–Yau three–fold, of M–theory on S1/Z2. A crucial ingredient for a consistent truncation is a non–zero mode of the antisymmetric tensor field strength which arises due to magnetic sources on the orbifold planes. The correct...

Second language writing instruction has been greatly influenced by the growing importance of technology and the recent shift of paradigm from a cognitive to a social orientation in second language acquisition (Lantolf & Thorne, 2006). Therefore, the applications of computer assisted language learning and activity theory have been suggested as a promising framework for writing studies. The prese...