Condensation of Localized Tachyons and Spacetime Supersymmetry
J. Korean Phy. Soc. 2003; 43: 34~
Published online July 1, 2003 © 2003 The Korean Physical Society.

We consider condensation of localized closed string tachyons by examining the recent proposal of Harvey, Kutasov, Martinec, and Moore (HKMM). We first observe that the $g_{m cl}$ defined by HKMM does not reflect the space-time supersymmetry when the model has the supersymmetry (SUSY). Especially for ${f C}^2/{f Z}_N$ models, $g_{m cl}$ is highly peaked along the supersymmetric points in the space of orbifolds, which is an unsatisfactory property of the c-function of the renormalization group(RG)-flow. We give an alternative proposal for the tachyon potential in type II cases such that it has a valley along the supersymmetric points in the orbifold moduli space. A new definition predicts that the processes suggested by Adams, Polchinski, and Silverstein and argued to be forbidden by HKMM are in fact allowed.

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