Tachyon mass, c-function and Counting localized degrees of freedom

Abstract

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.

15 pages, 2 figures, v2: typo corrected, reference added. v3: abstract stretched

References in corpus (2)

• Don't Panic! Closed String Tachyons in ALE Spacetimes
• Magnetic backgrounds and tachyonic instabilities in closed superstring theory and M-theory

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• Off-Shell Interactions for Closed-String Tachyons
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• Localized tachyon condensation and G-parity conservation
• Closed string tachyon potential and $t{t}^{\ast }$ equation
• Toda systems in closed string tachyon condensation