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  4. Symmetry resolution in non-Lorentzian field theories
 
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Symmetry resolution in non-Lorentzian field theories

Source
Journal of High Energy Physics
Date Issued
2024-06-01
Author(s)
Banerjee, Aritra
Basu, Rudranil
Bhattacharyya, Arpan  
Chakrabarti, Nilachal
DOI
10.1007/JHEP06(2024)121
Volume
2024
Issue
6
Abstract
Starting from the computation of Symmetry Resolved Entanglement Entropy (SREE) for boosted intervals in a two dimensional Conformal Field Theory, we compute the same in various non-Lorentzian limits, viz, Galilean and Carrollian Conformal Field Theory in same number of dimensions. We approach the problem both from a limiting perspective and by using intrinsic symmetries of respective non-Lorentzian conformal algebras. In particular, we calculate the leading order terms, logarithmic terms, and the O1 terms and explicitly show exact compliance with equipartition of entanglement, even in the non-Lorentzian system. Keeping in mind the holographic origin of SREE for the Carrollian limit, we further compute SREE for BMS<inf>3</inf>-Kac-Moody, which couples a U(1) × U(1) theory with bulk gravity.
Publication link
https://doi.org/10.1007/jhep06(2024)121
URI
https://d8.irins.org/handle/IITG2025/28892
Subjects
Conformal and W Symmetry | Gauge-Gravity Correspondence | Scale and Conformal Symmetries
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