Open Strings On The Rindler Horizon

Abstract

It has been proposed that a certain Z_N orbifold, analytically continued in N, can be used to describe the thermodynamics of Rindler space in string theory. In this paper, we attempt to implement this idea for the open-string sector. The most interesting result is that, although the orbifold is tachyonic for positive integer N, the tachyon seems to disappear after analytic continuation to the region that is appropriate for computing $\mathrm{Tr}{\rho }^{\mathcal{N}}$, where $\rho$ is the density matrix of Rindler space and Re $\mathcal{N}$>1. Analytic continuation of the full orbifold conformal field theory remains a challenge, but we find some evidence that if such analytic continuation is possible, the resulting theory is a logarithmic conformal field theory, necessarily nonunitary.

26 pp. Comment on dilaton tadpoles in higher order added in v. 3, minor corrections

References in corpus (1)

• Comments on Entanglement Entropy in String Theory

Cited by in corpus (27)

• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Gravity Edges Modes and Hayward Term
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Two-dimensional O(n) models and logarithmic CFTs
• Bulk Entanglement Entropy and Matrices
• Stringy ER=EPR
• An Alternative Method for Extracting the von Neumann Entropy from Renyi Entropies
• Entanglement entropy and the large $N$ expansion of two-dimensional Yang-Mills theory
• Extracting Error Thresholds through the Framework of Approximate Quantum Error Correction Condition
• A duality in string theory on AdS${}_3$
• Finiteness of Entanglement Entropy in Collective Field Theory
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Topological string entanglement
• Finite Entanglement Entropy in String Theory
• Dynamical Edge Modes in $p$-form Gauge Theories
• Entanglement entropy and edge modes in topological string theory: I
• Full Logarithmic Conformal Field theory - an Attempt at a Status Report
• Semi-Classical Analysis of the String Theory Cigar
• Entanglement Entropy in Closed String Theory
• Heterotic Strings and Quantum Entanglement
• Quantum Entanglement Index in String Theory
• The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory
• Entanglement Entropy in String Compactifications
• Unruh Duality and Maximum Acceleration in String Theory
• Analytic Bootstrap for Logarithmic CFT
• Fiducial observers and the thermal atmosphere in the black hole quantum throat