Symmetry Resolution in non-Lorentzian Field Theories

• URL: http://arxiv.org/abs/2404.02206v2
• Date: Mon, 3 Jun 2024 10:41:22 GMT
• Title: Symmetry Resolution in non-Lorentzian Field Theories
• Authors: Aritra Banerjee, Rudranil Basu, Arpan Bhattacharyya, Nilachal Chakrabarti,
• Abstract summary: In particular, we calculate the leading order terms, logarithmic terms, and the $mathcalO(1)$ terms. Keeping in mind the holographic origin of SREE for the Carrollian limit, we further compute SREE for BMS$_3$-Kac-Moody.
• Score: 0.23436632098950458
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\textit{equipartition of entanglement}$, even in the non-Lorentzian system. Keeping in mind the holographic origin of SREE for the Carrollian limit, we further compute SREE for BMS$_{3}$-Kac-Moody, which couples a $U(1)\times U(1)$ theory with bulk gravity.

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