Statistics – Applications
Scientific paper
Mar 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..415b&link_type=ejournal
General Relativity and Gravitation, Volume 33, Issue 3, pp.415-428
Statistics
Applications
1
Soliton String Configuration, Elastic Worldline, Holographic Principle
Scientific paper
We obtain a reduction of the symmetry holographic principle for symmetric configurations of Nambu-Goto-Polyakov string theories in a semi-Riemannian space. The argument reduces the search of string configurations with a certain degree of symmetry to that for elastic curves in a corresponding orbit space. These solutions are solitons which are holographically related to particles that evolve along elastic worldlines in the orbit space. We also exhibit examples and applications to obtain soliton string shapes with cylindrical, rotational, toroidal etc. symmetry. In most of the cases we can determine the whole moduli space of symmetric solitons.
Barros Manuel
Cabrerizo Jose L.
Fernández Manuel
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