Perturbative String Thermodynamics near Black Hole Horizons

Abstract

We provide further computations and ideas to the problem of near-Hagedorn string thermodynamics near (uncharged) black hole horizons, building upon our earlier work JHEP 1403 (2014) 086. The relevance of long strings to one-loop black hole thermodynamics is emphasized. We then provide an argument in favor of the absence of ${\alpha }^{\prime }$-corrections for the (quadratic) heterotic thermal scalar action in Rindler space. We also compute the large $k$ limit of the cigar orbifold partition functions (for both bosonic and type II superstrings) which allows a better comparison between the flat cones and the cigar cones. A discussion is made on the general McClain-Roth-O'Brien-Tan theorem and on the fact that different torus embeddings lead to different aspects of string thermodynamics. The black hole/string correspondence principle for the 2d black hole is discussed in terms of the thermal scalar. Finally, we present an argument to deal with arbitrary higher genus partition functions, suggesting the breakdown of string perturbation theory (in $g_s$) to compute thermodynamical quantities in black hole spacetimes.

arXiv comment51 pages, v2: matches published version

References in corpus (56)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• A Correspondence Principle for Black Holes and Strings
• Don't Panic! Closed String Tachyons in ALE Spacetimes
• Black Hole Entropy and Entropy of Entanglement
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Little String Theory in a Double Scaling Limit
• String Theory and the Principle of Black Hole Complementarity
• Entanglement entropy of electromagnetic edge modes
• Self Gravitating Fundamental Strings
• Strings, Black Holes and Lorentz Contraction
• Comments on Double Scaled Little String Theory
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• LSZ in LST
• Quantum oscillations and black hole ringing
• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• Strings on a Cone and Black Hole Entropy
• Comments on the Thermodynamics of Little String Theory
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• Black Hole Entropy in the O(N) Model
• Touring the Hagedorn Ridge
• Do gauge fields really contribute negatively to black hole entropy?
• Strings Near a Rindler Or Black Hole Horizon
• String Theory Versus Black Hole Complementarity
• Accelerating Branes and the String/Black Hole Transition
• Exact Models of Extremal Dyonic 4D Black Hole Solutions of Heterotic String Theory
• On free energy of 2-d black hole in bosonic string theory
• Little String Theory and Heterotic/Type II Duality
• Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory
• String theory at the tip of the cigar
• Random walks and the Hagedorn transition
• Fine structure of Hagedorn transitions
• Finite Black Hole Entropy and String Theory
• An Exact String Theory Model of Closed Time-Like Curves and Cosmological Singularities
• Heterotic Coset Models
• Heterotic string solutions and coset conformal field theories
• The Charged Black Hole/String Transition
• The Cheshire Cap
• Random Walks in Rindler Spacetime and String Theory at the Tip of the Cigar
• Lessons on Black Holes from the Elliptic Genus
• Near-Hagedorn Thermodynamics and Random Walks: a General Formalism in Curved Backgrounds
• Chiral gauged WZNW models and heterotic string backgrounds
• D-Brane Propagation in Two-Dimensional Black Hole Geometries
• On the Relevance of the Thermal Scalar
• Deconstructing the Little Hagedorn Holography
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Comments on Non-holomorphic Modular Forms and Non-compact Superconformal Field Theories
• Hagedorn divergences and tachyon potential
• Near-Hagedorn Thermodynamics and Random Walks - Extensions and Examples
• Black Holes, Interactions, and Strings
• Thermodynamics of Superstring on Near-extremal NS5 and Effective Hagedorn Behavior
• The heterotic string at high temperature (or with strong supersymmetry breaking)
• On Thermodynamical Properties of Some Coset CFT Backgrounds
• On Non-Critical Superstring/Black Hole Transition
• Global properties of an exact string theory solution in two and four dimensions

Cited by in corpus (23)

• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• Stringy Horizons II
• String scale black holes at large $D$
• Edge State Quantization: Vector Fields in Rindler
• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Spectral form factor for free large $N$ gauge theory and strings
• String Stars in Anti de Sitter Space
• Stringy Horizons and UV/IR Mixing
• Failure of Perturbation Theory Near Horizons: the Rindler Example
• Highly Excited Strings I: Generating Function
• Revisiting noninteracting string partition functions in Rindler space
• Black Holes as Conformal Field Theories on Horizons
• String Thermodynamics In and Out of Equilibrium: Boltzmann Equations and Random Walks
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• On the Stringy Hartle-Hawking State
• Size scaling of self gravitating polymers and strings
• On the Entropy of Strings and Branes
• Scattering of low lying states in the black hole atmosphere
• Long Strings and Quasinormal Winding Modes
• On the asymptotic density of states in solvable models of strings
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole