Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-16
Nucl.Phys. B637 (2002) 395-408
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures, v2: typo corrected, reference added. v3: abstract stretched
Scientific paper
10.1016/S0550-3213(02)00433-9
We discuss the localized tachyon condensation in the non-supersymmetric orbifold theories by taking the cosmological constant as the measure of degrees of freedom (d.o.f). We first show asymptotic density of state is not a proper quantity to count the 'localized' d.o.f. We then show that localized d.o.f lead us a c-function given by the lightest tachyon mass, which turns out to be the same as the tachyon potential recently suggested by Dabholkar and Vafa. We also argue that delocalized d.o.f also encode information on the process of localized tachyon condensation in the g-function, based on the fact that the global geometry of the orbifolds is completely determined by the local geometry around the fixed points. For type II, both c- and g-function respect the stability of the supersymmetric models and both allow all the process suggested by Adams, Polchinski and Silverstein.
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