Entanglement entropy in generalised quantum Lifshitz models

• Published in: Journal of High Energy Physics
• Main Authors: Angel Ramelli, Juan Fernando, Giangreco Puletti, Valentina, Thorlacius, Larus
• Other Authors: Raunvísindastofnun (HÍ), Science Institute (UI), Verkfræði- og náttúruvísindasvið (HÍ), School of Engineering and Natural Sciences (UI), Háskóli Íslands, University of Iceland
• Format: Article in Journal/Newspaper
• Language: English
• Published: Springer Science and Business Media LLC 2019
• Subjects: Conformal Field Theory; Field Theories in Higher Dimensions; Eðlisfræði; Skammtafræði; Medina; Iceland
• Online Access: https://hdl.handle.net/20.500.11815/1660; https://doi.org/10.1007/JHEP08(2019)072

Publisher's version (útgefin grein) We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical critical exponent z equals the number of spatial dimensions d, and which generalise the 2+1-dimensional quantum Lifshitz model to higher dimensions. We analyse two cases: one where the spatial manifold is a d-dimensional sphere and the entanglement entropy is evaluated for a hemisphere, and another where a d-dimensional flat torus is divided into two cylinders. In both examples the finite universal terms in the entanglement entropy are scale invariant and depend on the compactification radius of the scalar field. We acknowledge useful discussions with J. Bardarson, P. Di Vecchia, J. S. Dowker, D. Friedan, B. Gouteraux, K. Grosvenor, D. Medina-Rincon, R. Leigh, D. Seminara, W. Sybesma, S. Vandoren, and M. Zaletel. This research was supported in part by the Icelandic Research Fund under contracts 163419-053 and 163422-053, and by grants from the University of Iceland Research Fund. Peer Reviewed