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, $m:=|{\alpha }^{\prime }{M}_{min}^2|$ satisfies $m(M)\ge m(D_1\oplus D_2)=\max \{m(D_1),m(D_2)\}$. $c$- $g$- $m$- functions share the common property $f(M)\ge f(D_1\oplus D_2)$ for $f=c,g,m$, although they have different behavior in detail.

arXiv comment15 pages, no figure, to appear in NPB

References in corpus (13)

• Phases of $N=2$ Theories In Two Dimensions
• Don't Panic! Closed String Tachyons in ALE Spacetimes
• A New Supersymmetric Index
• Stable Non-BPS States in String Theory
• Strings on a Cone and Black Hole Entropy
• Tachyon Condensation and Black Hole Entropy
• Spacetime Energy Decreases under World-sheet RG Flow
• Strings Near a Rindler Or Black Hole Horizon
• D-Brane Probe and Closed String Tachyons
• Brane Probes, Toric Geometry, and Closed String Tachyons
• Closed String Tachyons and RG flows
• M-theory lift of brane-antibrane systems and localised closed string tachyons
• Tachyon mass, c-function and Counting localized degrees of freedom

Cited by in corpus (4)

• On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
• Closed string tachyon potential and $t{t}^{\ast }$ equation
• Localized tachyon condensation and G-parity conservation
• Toda systems in closed string tachyon condensation