Entanglement entropy of a superflow

Journal Article · 03 February 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep02(2022)026 · OSTI ID:1976444

Khlebnikov, Sergei ^[1]; Sheoran, Akhil ^[2]

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1. Purdue University, West Lafayette, IN (United States); Purdue Univ., West Lafayette, IN (United States)
2. Purdue University, West Lafayette, IN (United States)

We consider the theory of N free Dirac fermions with a uniformly winding mass, me^iqx, in two spacetime dimensions. This theory (which describes for instance a superconducting current in an N-channel wire) has been proposed to have a higher-spin gravity with scalar matter as the large-N dual. To order m², however, thermodynamic quantities in it can be computed using standard general relativity instead. Here, we consider the question if the same is true for the entanglement entropy (EE). By comparing results obtained on two sides of the duality, we find that general relativity indeed accounts correctly for the EE of an interval to order m² (and all orders in q).

• Research Organization: Purdue University, West Lafayette, IN (United States)
• Sponsoring Organization: USDOE Office of Science (SC); W.M. Keck Foundation
• Grant/Contract Number: SC0019202
• OSTI ID: 1976444
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2022; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English