Heterotic Strings and Quantum Entanglement

Abstract

We construct ${\mathbb{Z}}_N$ orbifolds of the ten-dimensional heterotic string theories appropriate for implementing the stringy replica method for the calculation of quantum entanglement entropy. A novel feature for the heterotic string is that the gauge symmetry must be broken by a Wilson line to ensure modular invariance. We completely classify the patterns of symmetry breaking. We show that the tachyonic contributions in all cases can be analytically continued, with a finite answer in the domain $0<N\le 1$, relevant for calculating entanglement entropy across the Rindler horizon. We discuss the physical implications of our results.

arXiv comment13 pages

References in corpus (15)

• Remarks on entanglement entropy for gauge fields
• Black Hole Entropy and Entropy of Entanglement
• Decomposition of entanglement entropy in lattice gauge theory
• Entanglement entropy in gauge theories and the holographic principle for electric strings
• On The Entanglement Entropy For Gauge Theories
• Geometric entropy and edge modes of the electromagnetic field
• Strings on a Cone and Black Hole Entropy
• Tachyon Condensation and Black Hole Entropy
• Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
• Open Strings On The Rindler Horizon
• Dynamical Edge Modes and Entanglement in Maxwell Theory
• Entanglement Entropy, Relative Entropy and Duality
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Finite Entanglement Entropy in String Theory
• Entanglement Entropy in String Compactifications

Cited by in corpus (2)

• Dynamical Edge Modes in $p$-form Gauge Theories
• Quantum Entanglement Index in String Theory