Supercritical stability, transitions and (pseudo)tachyons

Abstract

Highly supercritical strings (c much greater than 15) with a time-like linear dilaton provide a large class of solutions to string theory, in which closed string tachyon condensation is under control (and follows the worldsheet renormalization group flow). In this note we analyze the late-time stability of such backgrounds, including transitions between them. The large friction introduced by the rolling dilaton and the rapid decrease of the string coupling suppress the back-reaction of naive instabilities. In particular, although the graviton, dilaton, and other light fields have negative effective mass squared in the linear dilaton background, the decaying string coupling ensures that their condensation does not cause large back-reaction. Similarly, the copious particles produced in transitions between highly supercritical theories do not back-react significantly on the solution. We discuss these features also in a somewhat more general class of time-dependent backgrounds with stable late-time asymptotics.

21 pages, harvmac. v2: added reference

References in corpus (4)

• Open String Creation by S-Branes
• Cosmological solutions of supercritical string theory
• New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology
• Supercritical N = 2 string theory

Cited by in corpus (16)

• String Cosmology: A Review
• Cosmological solutions of supercritical string theory
• A Short Review of Time Dependent Solutions and Space-like Singularities in String Theory
• New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology
• Lorentz Invariance Violation from String Theory
• Future Foam
• Thermal AdS(3), BTZ and competing winding modes condensation
• Cosmology of the closed string tachyon
• Supercritical N = 2 string theory
• Dimensional Duality
• M-Theory Through the Looking Glass: Tachyon Condensation in the E_8 Heterotic String
• World Sheet Commuting βγCFT and Non-Relativistic String Theories
• Discrete States in Light-Like Linear Dilaton Background
• Supercriticality of a Class of Critical String Cosmological Solutions
• D-dualized D-brane
• On fluctuations of closed string tachyon solitons