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 \( \mathcal{O}(1) \) 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.
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Acknowledgments
It is a pleasure to thank Arjun Bagchi for discussions and comments on the draft. Arpan Bhattacharyya (AB) thanks the speakers and participants of the workshop “Quantum Information in QFT and AdS/CFT-III” organized at IIT Hyderabad between 16-18th September, 2022 and funded by SERB through a Seminar Symposia (SSY) grant (SSY/2022/000446), “Quantum Information Theory in Quantum Field Theory and Cosmology” held in 4-9th June, 2023 hosted by Banff International Research Centre at Canada and “Holography, Strings and other fun things” at IIT Kanpur and BITS Pilani (Goa Campus) between 19-23th February, 2024. AB and Aritra Banerjee (ArB) would also like to thank the Department of Physics of BITS Pilani, Goa Campus for hospitality during the course of this work. ArB is supported in part by an OPERA grant and a seed grant NFSG/PIL/2023/P3816 from BITS-Pilani. The grants support the research of RB are: CRG/2020/002035, MTR/ 2022/000795 from SERB, India, DST/IC/Austria/P-9/2021 from DST, India and OeAD Austria; and OPERA grant from BITS Pilani. AB is supported by the Core Research Grant (CRG/2023/ 001120), Mathematical Research Impact Centric Support Grant (MTR/2021/ 000490) by the Department of Science and Technology Science and Engineering Research Board (India), India and Relevant Research Project grant (202011BRE03RP06633-BRNS) by the Board of Research in Nuclear Sciences (BRNS), Department of Atomic Energy (DAE). AB also acknowledges the associateship program of the Indian Academy of Science, Bengaluru. Nilachal Chakrabarti (NC) is supported by the Director’s Fellowship of the Indian Institute of Technology Gandhinagar.
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Banerjee, A., Basu, R., Bhattacharyya, A. et al. Symmetry resolution in non-Lorentzian field theories. J. High Energ. Phys. 2024, 121 (2024). https://doi.org/10.1007/JHEP06(2024)121
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DOI: https://doi.org/10.1007/JHEP06(2024)121