We study the $T$-dual completion of four-dimensional $\mathcal{N}=1$ type II effective potentials in presence (non)geometric fluxes. First, we invoke a cohomology version transformations among various moduli, axions, and fluxes appearing IIA IIB supergravities. This leads to some useful observations about significant mixing standard NS-NS with on mirror side. Further, using our $T$-duality rule...

We consider B-type D-branes in the Gepner model consisting of two minimal models at k = 2. This Gepner model is mirror to a torus theory. We establish the dictionary identifying the B-type D-branes of the Gepner model with A-type Neumann and Dirichlet branes on the torus.

We present a methodology to enrich a dictionary sense with semantic tags. The method relies on the use of a wide-coverage noun taxonomy and the notion of conceptual distance among concepts. Some experimental results about the performance of the method are provided.

Toric varieties form an important class of algebraic varieties whose particular strength lies in methods of construction via combinatorial data. Understanding this construction has led to the development of a rich dictionary allowing combinatorial statements to be translated into algebraic statements, and vice versa. In this short summary, the basic details of the combinatorial approach to cons...

The aim of this paper is to begin a study of the cohomology modules H(X(w),Lλ) for non-dominant weights λ on Schubert varieties X(w) in G/B. The aim is to set-up a combinatorial dictionary for describing the cohomology modules and give criteria for their vanishing. Here Lλ denotes the line bundle on X(w) corresponding to the 1-dimensional representation of B given by the character λ.

This paper describes an experiment to compare the speed and success with which subjects from different language and cultural backgrounds read and make productive use of learners' dictionary entries. Two groups of subjects, one from Malaysia and the other from Portugal, produced sentences using given target words, with optional access to dictionary information. Computers monitored their behaviou...