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  5. Symmetry resolution in non-lorentzian field theories
 
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Symmetry resolution in non-lorentzian field theories

Source
arXiv
ISSN
2331-8422
Date Issued
2024-04-01
Author(s)
Banerjee, Aritra
Basu, Rudranil
Bhattacharyya, Arpan
Chakrabarti, Nilachal
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 O(1) 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 BMS3-Kac-Moody, which couples a U(1)×U(1) theory with bulk gravity.
URI
https://doi.org/10.48550/arXiv.2404.02206
https://d8.irins.org/handle/IITG2025/18547
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