Symmetry Resolution in non-Lorentzian Field Theories

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 $\text{equipartition of entanglement}$, 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.

38 pages, typos corrected, references updated, changes made in the section 4 and 6 regarding SREE for GCFT and BMS, conclusion remains unchanged, updated version to appear in JHEP

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