Structure of singularities on the world sheets of relativistic strings

Klimenko, Stanislav; Nikitin, Igor; Nikitina, Lialia

Structure of singularities on the world sheets of relativistic strings

Authors

Klimenko, Stanislav

Nikitin, Igor

Nikitina, Lialia

Description

We show that relativistic strings of open and closed types in Minkowski space-time of dimension 3 and 4 have topologically stable singular points. This paper describes the structure of singularities, derives their normal forms, and introduces a local characteristic of singularity (topological charge), possessing a global law of conservation. Two other types of solutions (breaking and exotic strings) are also considered, which have singularities at arbitrary value of dimension.
10 pages, 21 figures