Near-Hagedorn Thermodynamics and Random Walks - Extensions and Examples

Abstract

In this paper, we discuss several explicit examples of the results obtained in JHEP 1402 (2014) 127. We elaborate on the random walk picture in these spacetimes and how it is modified. Firstly we discuss the linear dilaton background. Then we analyze a previously studied toroidally compactified background where we determine the Hagedorn temperature and study the random walk picture. We continue with flat space orbifold models where we discuss boundary conditions for the thermal scalar. Finally, we study the general link between the quantum numbers in the fundamental domain and the strip and their role in thermodynamics.

arXiv comment34 pages, v2: matches published version

References in corpus (19)

• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• More Comments on String Theory on AdS_3
• Self Gravitating Fundamental Strings
• Touring the Hagedorn Ridge
• Non-Compact WZW Conformal Field Theories
• The Hagedorn transition in non-commutative open string theory
• String theory at the tip of the cigar
• Random walks and the Hagedorn transition
• Random Walks in Rindler Spacetime and String Theory at the Tip of the Cigar
• Near-Hagedorn Thermodynamics and Random Walks: a General Formalism in Curved Backgrounds
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Thermal AdS(3), BTZ and competing winding modes condensation
• Matrix strings in a B-field
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Hagedorn Strings and Correspondence Principle in AdS(3)
• The target space dependence of the Hagedorn temperature
• Thermodynamics of Superstring on Near-extremal NS5 and Effective Hagedorn Behavior

Cited by in corpus (12)

• Stringy Horizons II
• Edge State Quantization: Vector Fields in Rindler
• Perturbative String Thermodynamics near Black Hole Horizons
• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Stringy Horizons and UV/IR Mixing
• On the Relevance of the Thermal Scalar
• Revisiting noninteracting string partition functions in Rindler space
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• Size scaling of self gravitating polymers and strings
• Traversable wormholes in $f(R)$ gravity sourced by a cloud of strings