Finite Entanglement Entropy in String Theory

Abstract

We analyze the one-loop quantum entanglement entropy in ten-dimensional Type-II string theory using the orbifold method by analytically continuing in $N$ the genus-one partition function for string orbifolds on ${\mathbb{R}}^2/{\mathbb{Z}}_N$ conical spaces known for all odd integers $N>1$. We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0<N\le 1$ resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.

arXiv comment6 pages; two-column format; v2: Minor comments added, published in Phys. Rev. D as a Letter

References in corpus (30)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black Holes: Complementarity or Firewalls?
• Cool horizons for entangled black holes
• Generalized gravitational entropy
• Building up spacetime with quantum entanglement
• The information paradox: A pedagogical introduction
• The fuzzball proposal for black holes: an elementary review
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• Relative entropy equals bulk relative entropy
• Holographic representation of local bulk operators
• An Infalling Observer in AdS/CFT
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• An Algebra of Observables for de Sitter Space
• Black Hole Entropy and Entropy of Entanglement
• A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
• Gravity and the Crossed Product
• Holographic entanglement beyond classical gravity
• Large N algebras and generalized entropy
• The Black Hole Interior in AdS/CFT and the Information Paradox
• Nonperturbative black hole entropy and Kloosterman sums
• Closed Superstring Field Theory and its Applications
• Strings on a Cone and Black Hole Entropy
• Tachyon Condensation and Black Hole Entropy
• String Field Theory -- A Modern Introduction
• Open Strings On The Rindler Horizon

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