Localized tachyon mass and a g-theorem analogue

Details Localized tachyon mass and a g-theorem analogue Localized tachyon mass and a g-theorem analogue

2003-08-02

arxiv.org/abs/hep-th/0308015v1

Nucl.Phys. B667 (2003) 310-320

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figure, to appear in NPB

Scientific paper

10.1016/S0550-3213(03)00541-8

We study the localized tachyon condensation (LTC) of non-supersymmetric orbifold backgrounds in their mirror Landau-Ginzburg picture. Using he existence of four copies of (2,2) worldsheet supersymmetry, we show at the CFT level, that the minimal tachyon mass in twisted sectors shows somewhat analogous properties of c- or g-function. Namely, $m := |\alpha' M^2_{min}| $ satisfies $m(M) \geq m(D_1\oplus D_2)={\rm max} \{m(D_1),m(D_2)\}$. $c$- $g$- $m$- functions share the common property $ f(M)\geq f(D_1\oplus D_2)$ for $f=c,g,m$, although they have different behavior in detail.

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