Geometric tachyon to universal open string tachyon
Abstract
A system of k NeveuSchwarz (NS) 5branes of type II string theory with one transverse direction compactified on a circle admits various unstable Dbrane systems, some with geometric instability arising out of being placed at a point of unstable equilibrium in space and some with the usual open string tachyonic instability but no geometric instability. We discuss the effect of NS 5branes on the descent relations among these branes and their physical interpretation in the Tdual ALF spaces. We argue that if the tachyon potential controlling these descent relations obeys certain conditions, then in certain region in the parameter space labelling the background the two types of unstable branes become identical via a second order phase transition, with the geometric tachyon in one system getting mapped to the usual open string tachyon of the other system. This would provide a geometric description of the tachyonic instability of the usual nonBPS Dpbrane in ten dimensional flat spacetime.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2007
 DOI:
 10.1088/11266708/2007/05/035
 arXiv:
 arXiv:hepth/0703157
 Bibcode:
 2007JHEP...05..035S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX file, 30 pages