Localized tachyon mass and a g-theorem analogue

Abstract

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:=| α′ M 2 min| satisfies m( M)⩾ m( D 1⊕ D 2)=max{ m( D 1), m( D 2)}. c-, g-, m-functions share the common property f( M)⩾ f( D 1⊕ D 2) for f= c, g, m, although they have different behavior in detail.