Structure of singularities on the world sheets of relativistic strings
نویسندگان
چکیده
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.
منابع مشابه
Singularities on the World Sheets of Open Relativistic Strings
A classification of stable singular points on world sheets of open rela-tivistic strings is carried out.
متن کامل9205037 Usc - 92 / Hep - B 1 Global Analysis of New Gravitational Singularities in String and Particle
We present a global analysis of the geometries that arise in non-compact current algebra (or gauged WZW) coset models of strings and particles propagating in curved space-time. The simplest case is the 2d black hole. In higher dimensions these geometries describe new and much more complex singularities. For string and particle theories (defined in the text) we introduce general methods for iden...
متن کاملThe Investigation of Anti-bacterial Activity of Holothuria Leucospilota Sea Cucumber Extracts (Body Wall, Guts and White Strings) at Chabahar Bay in Oman Sea
Echinoderms are independent and quite special branch of world animals. Sea cucumbers are among the strangest members of echinoderm class regarding their structure and physiology. These fauna have been tested with regard to anti-bacterial, anti-fungal, anti-coagulants, anti-virus, cytotoxic, hemolytic and anti-HIV features. In this study, the antibacterial activity of Holothuria leucospilota...
متن کاملFocusing of timelike worldsheets in a theory of strings
An analysis of the generalised Raychaudhuri equations for string world sheets is shown to lead to the notion of focusing of timelike worldsheets in the classical Nambu–Goto theory of strings. The conditions under which such effects can occur are obtained . Explicit solutions as well as the Cauchy initial value problem are discussed. The results closely resemble their counterparts in the theory ...
متن کاملLorentzian varifolds and applications to closed relativistic strings
We develop a suitable generalization of Almgren’s theory of varifolds in a lorentzian setting, focusing on area, first variation, rectifiability, compactness and closure issues. Motivated by the asymptotic behaviour of the scaled hyperbolic Ginzburg-Landau equations, and by the presence of singularities in lorentzian minimal surfaces, we introduce, within the varifold class, various notions of ...
متن کامل