Decay Rates of Fixed Planes and Closed-string Tachyons on Unstable Orbifolds

TL;DR

This paper investigates the decay rates of fixed planes and closed-string tachyons on unstable orbifolds, providing calculations of localized energy density and decay rates that depend on the orbifold parameter n.

Contribution

It introduces a method to compute the one-loop localized energy density and decay rates of fixed planes in unstable orbifolds, revealing their dependence on the orbifold parameter n.

Findings

Decay rate increases monotonically with n.

Calculated localized energy density at one-loop level.

Provided leading-order decay rate expressions.

Abstract

We consider closed-string tachyon condensation in the twisted sectors on the C/Z_{2n+1} \times R^{7,1} orbifold. We calculate the localized energy density in the fixed plane on the orbifold at the one-loop level, and we obtain the decay rate per unit volume of the fixed plane to leading order. We show that the decay rate increases monotonically as a function of n.