Localized tachyon condensation and G-parity conservation

Details Localized tachyon condensation and G-parity conservation Localized tachyon condensation and G-parity conservation

2003-12-16

arxiv.org/abs/hep-th/0312175v3

JHEP 0401 (2004) 054

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures, final form to appear in JHEP

Scientific paper

10.1088/1126-6708/2004/01/054

We study the condensation of localized tachyon in non-supersymmetric orbifold ${\C^2/\Z_n}$. We first show that the G-parities of chiral primaries are preserved under the condensation of localized tachyon(CLT) given by the chiral primaries. Using this, we finalize the proof of the conjecture that the lowest-tachyon-mass-squared increases under CLT at the level of type II string with full consideration of GSO projection. We also show the equivalence between the $G$-parity given by $G=[jk_1/n]+ [jk_2/n]$ coming from partition function and that given by $G=\{jk_1/n\}k_2 -\{jk_2/n\}k_1$ coming from the monomial construction for the chiral primaires in the dual mirror picture.

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