Note on massive scalar hypermultiplet in projective hyperspace

Note on Multifunctions Condensing in the Hyperspace

We fill the gap in understanding the relationship between mappings which are condensing w.r.t. the measure of noncompactness defined on the hyperspace and multifunctions condensing in the ordinary sense.

Note on Scalar Mesons

I. Introduction: The scalar mesons are especially important to understand because they have the same quantum numbers as the vacuum (J P C = 0 ++). Therefore they can condense into the vacuum and break a symmetry such as a global chiral U (N f) × U (N f). The details of how this symmetry breaking is implemented in Nature is one of the most profound problems in particle physics. In contrast to th...

A Note on Projective Graphs

Instanton-induced scalar potential for the universal hypermultiplet

We calculate the scalar potential in the gauged N=2 supergravity with a single hypermultiplet, whose generic quaternionic moduli space metric has an abelian isometry. This isometry is gauged by the use of a graviphoton gauge field. The hypermultiplet metric and the scalar potential are both governed by the single real potential that is a solution to the 3d (integrable) continuous Toda equation....

A Note on Karmarkar's Projective Transformation

This note corrects a certain inaccuracy in the discussion of the projective transformation employed by Karmarkar in the reduction of a general linear programming to the form required for his algorithm In his famous paper Karmarkar proposes on page Step a reduction of a general problem to one on a subset of the unit simplex as follows Given a linear programming problemof the form Minimize cx sub...