Long Strings, Anomaly Cancellation, Phase Transitions, T-duality and Locality in the 2d Heterotic String

Abstract

We study the noncritical two-dimensional heterotic string. Long fundamental strings play a crucial role in the dynamics. They cancel anomalies and lead to phase transitions when the system is compactified on a Euclidean circle. A careful analysis of the gauge symmetries of the system uncovers new subtleties leading to modifications of the worldsheet results. The compactification on a Euclidean thermal circle is particularly interesting. It leads us to an incompatibility between T-duality (and its corresponding gauge symmetry) and locality.

36 pages, 2 figures

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• Dimension-changing exact solutions of string theory
• Thermal duality and non-singular cosmology in d-dimensional superstrings
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Dipolar quantization and the infinite circumference limit of two-dimensional conformal field theories
• Non-singular string cosmology in a 2d Hybrid model
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Stable Vacua for Tachyonic Strings
• Notes on the algebraic curves in (p,q) minimal string theory
• The Moduli Space and Phase Structure of Heterotic Strings in Two Dimensions
• Scattering of Long Folded Strings and Mixed Correlators in the Two-Matrix Model
• Non-critical Heterotic Superstrings in Various Dimensions
• Long Strings and Chiral Non-Singlets in Matrix Quantum Mechanics
• Open Strings and Heterotic Instantons