Quantum Entanglement on Black Hole Horizons in String Theory and Holography

Abstract

We compute the exact one-loop partition function of ${\mathbb{Z}}_N$ orbifolds of Euclidean BTZ black hole with the aim to compute the entanglement entropy of the black hole horizon in string theory as a function of the mass and spin of the black hole and the ${\mathrm{AdS}}_3$ radius. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$ and show that it admits an analytic continuation resulting in a finite answer for the modular integral in the physical region $0<N\le 1$. We discuss the flat space limit and the relevance of this computation for quantum gravity near black hole horizons and holography in relation to the thermal entropy.

arXiv comment28 pages; v2: Published in JHEP, minor improvements

References in corpus (37)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The Black Hole in Three Dimensional Space Time
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Cool horizons for entangled black holes
• Building up spacetime with quantum entanglement
• Quantum corrections to holographic entanglement entropy
• AdS3 Black Holes and a Stringy Exclusion Principle
• D--branes and Spinning Black Holes
• Relative entropy equals bulk relative entropy
• Quantum Gravity Partition Functions in Three Dimensions
• 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
• The Worldsheet Dual of the Symmetric Product CFT
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Extreme dyonic black holes in string theory
• Superstrings on AdS3 at k=1
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• Strings on a Cone and Black Hole Entropy
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Tachyon Condensation and Black Hole Entropy
• Partition functions of the tensionless string
• Exciting AdS Orbifolds
• String Theory on AdS Orbifolds
• Entanglement entropy in two dimensional string theory
• Open Strings On The Rindler Horizon
• Counting Giant Gravitons in AdS_3
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Bulk Entanglement Entropy and Matrices
• AdS one-loop partition functions from bulk and edge characters
• Winding tachyons in BTZ
• Thermal AdS(3), BTZ and competing winding modes condensation
• Hagedorn Strings and Correspondence Principle in AdS(3)
• Superstrings in Thermal Anti-de Sitter Space

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• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Dynamical Edge Modes in $p$-form Gauge Theories
• Quantum Entanglement Index in String Theory
• Heterotic Strings and Quantum Entanglement