Large-charge Rényi entropy

2025/06/11 by Masataka Watanabe, Watanabe, Masataka · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2506.10072

openalex publication_date 2025/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The charged (symmetry-resolved) vacuum Rényi entanglement entropy on a disk is computed in the limit of large U(1) global charge for any Rényi index. We show that it behaves universally for a broad class of conformal field theories including the O(2) Wilson-Fisher fixed-point, by using the effective field theory at large global charge. The result establishes one of the first concrete computations of entanglement quantities in strongly-coupled field theories.

Citations

• Universality of Rényi Entropy in Conformal Field Theory
• Large charge operators at large spin from relativistically rotating vortices
• Theorems for the Lightcone Bootstrap
• Entanglement asymmetry in CFT with boundary symmetry breaking
• Entanglement asymmetry and symmetry defects in boundary conformal field theory
• 6d Large Charge and 2d Virasoro Blocks
• Numerical tests of the large charge expansion
• Twist accumulation in conformal field theory. A rigorous approach to the lightcone bootstrap
• Stability Analysis of a Non-Unitary CFT
• On the exponentially small corrections to \cal N = 2 superconformal correlators at large R-charge
• Large R-charge EFT correlators in N=2 SQCD
• Quantum Information Theory of the Gravitational Anomaly

Cited by

• Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach

Related

• Entanglement Entropy at Large Central Charge
• Extending Charged Holographic Rényi Entropy
• Universality of Rényi Entropy in Conformal Field Theory
• Detection of a Rényi Index Dependent Transition in Entanglement Entropy Scaling
• Unusual Corrections to the Scaling of the Entanglement Entropy of the Excited states in Conformal Field Theory